Quantitative Aptitude

Problems on Ages

1,744 Questions
All Translate multiples, fractions, and percentages 518 Use two ratios from different dates 500 Convert an age ratio into actual ages 258 Handle averages and changing groups 167 Generational age chains 111 Recognize equal age gaps 101 Product of ages 68 Ages in arithmetic progression 11 Division of lifespan 9

Problems on Ages Questions

Multiple choice

Had Aparup been 12 years younger, his present age would have been sum of his one son's and one daughter's age. Had Aparup been 2 years elder, his present age would have been 26 years more than his son's present age. If Aparup's present age is four times of his daughter's present age, what will be his son's age 2 years hence? (in years)

  1. 28

  2. 26

  3. 18

  4. 14

  5. 22
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let A, S, D be current ages. (A-12) = S+D. (A+2) = S+26 => A = S+24. A = 4D => D = A/4. Substitute D and S=A-24 into first eq: A-12 = (A-24) + A/4. A-12 = 1.25A - 24 => 12 = 0.25A => A = 48. Then S = 48-24 = 24. Son's age 2 years hence = 24+2 = 26.

Multiple choice

Three years ago, Atul's age was four times Parul's age. After five years, Atul's age will be two times Parul's age. Find their respective present ages.

  1. 23 years and 8 years

  2. 19 years and 7 years

  3. 27 years and 9 years

  4. Data inadequate
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Let Atul be A and Parul be P. Three years ago: A - 3 = 4(P - 3) => A = 4P - 9. After five years: A + 5 = 2(P + 5) => A = 2P + 5. Equating: 4P - 9 = 2P + 5 => 2P = 14 => P = 7. A = 2(7) + 5 = 19.