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Ages — formula, example and practice

Present, past and future ages. One linear equation is usually enough.

Content type: original worked example. Not labelled as a previous-year question.

Timed GK/quant mock Shortcuts CBSE Class 10 Maths 150 questions

Formula

If present ages are x and y, n years ago they were x−n and y−n

Linear equations dressed as family stories.

What you should learn here

“Sum of ages after n years” = present sum + n×(number of people).

Worked example

Question. A is 4 years older than B. After 6 years A will be 5/4 of B. Present ages?

Solution. Let B = x, A = x+4. (x+10) = (5/4)(x+6) → x = 14, A = 18.

Common mistake. Adding years to only one person.

When to use the shortcut. Pick the younger (or the ratio’s second term) as x to keep numbers smaller.

Related chapters and tests

Mixture and Alligation LCM and HCF Percentage Ratio and Proportion All formulas SSC GD mocks SSC CGL mocks

150 important Ages questions

Original arithmetic practice for this page. Not labelled as previous-year SSC/railway items. Tap an option to mark it. Open “Answer” for the working.

Q. 1आयु

A is 20 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: B

20−6 = 14.

Q. 2आयु

A is 22, B is 16. Sum of present ages is

Answer / solution

Correct option: B

22+16=38.

Q. 3आयु

A is 24 now. After 5 years A will be

Answer / solution

Correct option: B

24+5=29.

Q. 4आयु

A is 26 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: A

26−6 = 20.

Q. 5आयु

A is 28, B is 22. Sum of present ages is

Answer / solution

Correct option: D

28+22=50.

Q. 6आयु

A is 30 now. After 5 years A will be

Answer / solution

Correct option: C

30+5=35.

Q. 7आयु

A is 32 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: B

32−6 = 26.

Q. 8आयु

A is 34, B is 28. Sum of present ages is

Answer / solution

Correct option: C

34+28=62.

Q. 9आयु

A is 36 now. After 5 years A will be

Answer / solution

Correct option: C

36+5=41.

Q. 10आयु

A is 38 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: C

38−6 = 32.

Q. 11आयु

A is 20, B is 14. Sum of present ages is

Answer / solution

Correct option: C

20+14=34.

Q. 12आयु

A is 22 now. After 5 years A will be

Answer / solution

Correct option: B

22+5=27.

Q. 13आयु

A is 24 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: C

24−6 = 18.

Q. 14आयु

A is 26, B is 20. Sum of present ages is

Answer / solution

Correct option: D

26+20=46.

Q. 15आयु

A is 28 now. After 5 years A will be

Answer / solution

Correct option: C

28+5=33.

Q. 16आयु

A is 30 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: D

30−6 = 24.

Q. 17आयु

A is 32, B is 26. Sum of present ages is

Answer / solution

Correct option: B

32+26=58.

Q. 18आयु

A is 34 now. After 5 years A will be

Answer / solution

Correct option: C

34+5=39.

Q. 19आयु

A is 36 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: C

36−6 = 30.

Q. 20आयु

A is 38, B is 32. Sum of present ages is

Answer / solution

Correct option: C

38+32=70.

Q. 21आयु

A is 20 now. After 5 years A will be

Answer / solution

Correct option: B

20+5=25.

Q. 22आयु

A is 22 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: D

22−6 = 16.

Q. 23आयु

A is 24, B is 18. Sum of present ages is

Answer / solution

Correct option: C

24+18=42.

Q. 24आयु

A is 26 now. After 5 years A will be

Answer / solution

Correct option: B

26+5=31.

Q. 25आयु

A is 28 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: A

28−6 = 22.

Q. 26आयु

A is 30, B is 24. Sum of present ages is

Answer / solution

Correct option: C

30+24=54.

Q. 27आयु

A is 32 now. After 5 years A will be

Answer / solution

Correct option: C

32+5=37.

Q. 28आयु

A is 34 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: A

34−6 = 28.

Q. 29आयु

A is 36, B is 30. Sum of present ages is

Answer / solution

Correct option: C

36+30=66.

Q. 30आयु

A is 38 now. After 5 years A will be

Answer / solution

Correct option: B

38+5=43.

Q. 31आयु

A is 20 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: B

20−6 = 14.

Q. 32आयु

A is 22, B is 16. Sum of present ages is

Answer / solution

Correct option: B

22+16=38.

Q. 33आयु

A is 24 now. After 5 years A will be

Answer / solution

Correct option: B

24+5=29.

Q. 34आयु

A is 26 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: A

26−6 = 20.

Q. 35आयु

A is 28, B is 22. Sum of present ages is

Answer / solution

Correct option: D

28+22=50.

Q. 36आयु

A is 30 now. After 5 years A will be

Answer / solution

Correct option: C

30+5=35.

Q. 37आयु

A is 32 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: B

32−6 = 26.

Q. 38आयु

A is 34, B is 28. Sum of present ages is

Answer / solution

Correct option: C

34+28=62.

Q. 39आयु

A is 36 now. After 5 years A will be

Answer / solution

Correct option: C

36+5=41.

Q. 40आयु

A is 38 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: C

38−6 = 32.

Q. 41आयु

A is 20, B is 14. Sum of present ages is

Answer / solution

Correct option: C

20+14=34.

Q. 42आयु

A is 22 now. After 5 years A will be

Answer / solution

Correct option: B

22+5=27.

Q. 43आयु

A is 24 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: C

24−6 = 18.

Q. 44आयु

A is 26, B is 20. Sum of present ages is

Answer / solution

Correct option: D

26+20=46.

Q. 45आयु

A is 28 now. After 5 years A will be

Answer / solution

Correct option: C

28+5=33.

Q. 46आयु

A is 30 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: D

30−6 = 24.

Q. 47आयु

A is 32, B is 26. Sum of present ages is

Answer / solution

Correct option: B

32+26=58.

Q. 48आयु

A is 34 now. After 5 years A will be

Answer / solution

Correct option: C

34+5=39.

Q. 49आयु

A is 36 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: C

36−6 = 30.

Q. 50आयु

A is 38, B is 32. Sum of present ages is

Answer / solution

Correct option: C

38+32=70.

Q. 51आयु

A is 20 now. After 5 years A will be

Answer / solution

Correct option: B

20+5=25.

Q. 52आयु

A is 22 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: D

22−6 = 16.

Q. 53आयु

A is 24, B is 18. Sum of present ages is

Answer / solution

Correct option: C

24+18=42.

Q. 54आयु

A is 26 now. After 5 years A will be

Answer / solution

Correct option: B

26+5=31.

Q. 55आयु

A is 28 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: A

28−6 = 22.

Q. 56आयु

A is 30, B is 24. Sum of present ages is

Answer / solution

Correct option: C

30+24=54.

Q. 57आयु

A is 32 now. After 5 years A will be

Answer / solution

Correct option: C

32+5=37.

Q. 58आयु

A is 34 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: A

34−6 = 28.

Q. 59आयु

A is 36, B is 30. Sum of present ages is

Answer / solution

Correct option: C

36+30=66.

Q. 60आयु

A is 38 now. After 5 years A will be

Answer / solution

Correct option: B

38+5=43.

Q. 61आयु

A is 20 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: B

20−6 = 14.

Q. 62आयु

A is 22, B is 16. Sum of present ages is

Answer / solution

Correct option: B

22+16=38.

Q. 63आयु

A is 24 now. After 5 years A will be

Answer / solution

Correct option: B

24+5=29.

Q. 64आयु

A is 26 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: A

26−6 = 20.

Q. 65आयु

A is 28, B is 22. Sum of present ages is

Answer / solution

Correct option: D

28+22=50.

Q. 66आयु

A is 30 now. After 5 years A will be

Answer / solution

Correct option: C

30+5=35.

Q. 67आयु

A is 32 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: B

32−6 = 26.

Q. 68आयु

A is 34, B is 28. Sum of present ages is

Answer / solution

Correct option: C

34+28=62.

Q. 69आयु

A is 36 now. After 5 years A will be

Answer / solution

Correct option: C

36+5=41.

Q. 70आयु

A is 38 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: C

38−6 = 32.

Q. 71आयु

A is 20, B is 14. Sum of present ages is

Answer / solution

Correct option: C

20+14=34.

Q. 72आयु

A is 22 now. After 5 years A will be

Answer / solution

Correct option: B

22+5=27.

Q. 73आयु

A is 24 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: C

24−6 = 18.

Q. 74आयु

A is 26, B is 20. Sum of present ages is

Answer / solution

Correct option: D

26+20=46.

Q. 75आयु

A is 28 now. After 5 years A will be

Answer / solution

Correct option: C

28+5=33.

Q. 76आयु

A is 30 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: D

30−6 = 24.

Q. 77आयु

A is 32, B is 26. Sum of present ages is

Answer / solution

Correct option: B

32+26=58.

Q. 78आयु

A is 34 now. After 5 years A will be

Answer / solution

Correct option: C

34+5=39.

Q. 79आयु

A is 36 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: C

36−6 = 30.

Q. 80आयु

A is 38, B is 32. Sum of present ages is

Answer / solution

Correct option: C

38+32=70.

Q. 81आयु

A is 20 now. After 5 years A will be

Answer / solution

Correct option: B

20+5=25.

Q. 82आयु

A is 22 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: D

22−6 = 16.

Q. 83आयु

A is 24, B is 18. Sum of present ages is

Answer / solution

Correct option: C

24+18=42.

Q. 84आयु

A is 26 now. After 5 years A will be

Answer / solution

Correct option: B

26+5=31.

Q. 85आयु

A is 28 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: A

28−6 = 22.

Q. 86आयु

A is 30, B is 24. Sum of present ages is

Answer / solution

Correct option: C

30+24=54.

Q. 87आयु

A is 32 now. After 5 years A will be

Answer / solution

Correct option: C

32+5=37.

Q. 88आयु

A is 34 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: A

34−6 = 28.

Q. 89आयु

A is 36, B is 30. Sum of present ages is

Answer / solution

Correct option: C

36+30=66.

Q. 90आयु

A is 38 now. After 5 years A will be

Answer / solution

Correct option: B

38+5=43.

Q. 91आयु

A is 20 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: B

20−6 = 14.

Q. 92आयु

A is 22, B is 16. Sum of present ages is

Answer / solution

Correct option: B

22+16=38.

Q. 93आयु

A is 24 now. After 5 years A will be

Answer / solution

Correct option: B

24+5=29.

Q. 94आयु

A is 26 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: A

26−6 = 20.

Q. 95आयु

A is 28, B is 22. Sum of present ages is

Answer / solution

Correct option: D

28+22=50.

Q. 96आयु

A is 30 now. After 5 years A will be

Answer / solution

Correct option: C

30+5=35.

Q. 97आयु

A is 32 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: B

32−6 = 26.

Q. 98आयु

A is 34, B is 28. Sum of present ages is

Answer / solution

Correct option: C

34+28=62.

Q. 99आयु

A is 36 now. After 5 years A will be

Answer / solution

Correct option: C

36+5=41.

Q. 100आयु

A is 38 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: C

38−6 = 32.

Q. 101आयु

A is 20, B is 14. Sum of present ages is

Answer / solution

Correct option: C

20+14=34.

Q. 102आयु

A is 22 now. After 5 years A will be

Answer / solution

Correct option: B

22+5=27.

Q. 103आयु

A is 24 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: C

24−6 = 18.

Q. 104आयु

A is 26, B is 20. Sum of present ages is

Answer / solution

Correct option: D

26+20=46.

Q. 105आयु

A is 28 now. After 5 years A will be

Answer / solution

Correct option: C

28+5=33.

Q. 106आयु

A is 30 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: D

30−6 = 24.

Q. 107आयु

A is 32, B is 26. Sum of present ages is

Answer / solution

Correct option: B

32+26=58.

Q. 108आयु

A is 34 now. After 5 years A will be

Answer / solution

Correct option: C

34+5=39.

Q. 109आयु

A is 36 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: C

36−6 = 30.

Q. 110आयु

A is 38, B is 32. Sum of present ages is

Answer / solution

Correct option: C

38+32=70.

Q. 111आयु

A is 20 now. After 5 years A will be

Answer / solution

Correct option: B

20+5=25.

Q. 112आयु

A is 22 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: D

22−6 = 16.

Q. 113आयु

A is 24, B is 18. Sum of present ages is

Answer / solution

Correct option: C

24+18=42.

Q. 114आयु

A is 26 now. After 5 years A will be

Answer / solution

Correct option: B

26+5=31.

Q. 115आयु

A is 28 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: A

28−6 = 22.

Q. 116आयु

A is 30, B is 24. Sum of present ages is

Answer / solution

Correct option: C

30+24=54.

Q. 117आयु

A is 32 now. After 5 years A will be

Answer / solution

Correct option: C

32+5=37.

Q. 118आयु

A is 34 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: A

34−6 = 28.

Q. 119आयु

A is 36, B is 30. Sum of present ages is

Answer / solution

Correct option: C

36+30=66.

Q. 120आयु

A is 38 now. After 5 years A will be

Answer / solution

Correct option: B

38+5=43.

Q. 121आयु

A is 20 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: B

20−6 = 14.

Q. 122आयु

A is 22, B is 16. Sum of present ages is

Answer / solution

Correct option: B

22+16=38.

Q. 123आयु

A is 24 now. After 5 years A will be

Answer / solution

Correct option: B

24+5=29.

Q. 124आयु

A is 26 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: A

26−6 = 20.

Q. 125आयु

A is 28, B is 22. Sum of present ages is

Answer / solution

Correct option: D

28+22=50.

Q. 126आयु

A is 30 now. After 5 years A will be

Answer / solution

Correct option: C

30+5=35.

Q. 127आयु

A is 32 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: B

32−6 = 26.

Q. 128आयु

A is 34, B is 28. Sum of present ages is

Answer / solution

Correct option: C

34+28=62.

Q. 129आयु

A is 36 now. After 5 years A will be

Answer / solution

Correct option: C

36+5=41.

Q. 130आयु

A is 38 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: C

38−6 = 32.

Q. 131आयु

A is 20, B is 14. Sum of present ages is

Answer / solution

Correct option: C

20+14=34.

Q. 132आयु

A is 22 now. After 5 years A will be

Answer / solution

Correct option: B

22+5=27.

Q. 133आयु

A is 24 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: C

24−6 = 18.

Q. 134आयु

A is 26, B is 20. Sum of present ages is

Answer / solution

Correct option: D

26+20=46.

Q. 135आयु

A is 28 now. After 5 years A will be

Answer / solution

Correct option: C

28+5=33.

Q. 136आयु

A is 30 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: D

30−6 = 24.

Q. 137आयु

A is 32, B is 26. Sum of present ages is

Answer / solution

Correct option: B

32+26=58.

Q. 138आयु

A is 34 now. After 5 years A will be

Answer / solution

Correct option: C

34+5=39.

Q. 139आयु

A is 36 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: C

36−6 = 30.

Q. 140आयु

A is 38, B is 32. Sum of present ages is

Answer / solution

Correct option: C

38+32=70.

Q. 141आयु

A is 20 now. After 5 years A will be

Answer / solution

Correct option: B

20+5=25.

Q. 142आयु

A is 22 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: D

22−6 = 16.

Q. 143आयु

A is 24, B is 18. Sum of present ages is

Answer / solution

Correct option: C

24+18=42.

Q. 144आयु

A is 26 now. After 5 years A will be

Answer / solution

Correct option: B

26+5=31.

Q. 145आयु

A is 28 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: A

28−6 = 22.

Q. 146आयु

A is 30, B is 24. Sum of present ages is

Answer / solution

Correct option: C

30+24=54.

Q. 147आयु

A is 32 now. After 5 years A will be

Answer / solution

Correct option: C

32+5=37.

Q. 148आयु

A is 34 years, B is 6 years younger. B’s age is

Answer / solution

Correct option: A

34−6 = 28.

Q. 149आयु

A is 36, B is 30. Sum of present ages is

Answer / solution

Correct option: C

36+30=66.

Q. 150आयु

A is 38 now. After 5 years A will be

Answer / solution

Correct option: B

38+5=43.

FAQs

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