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.