Multiple choice

Ten years hence, the respective ratio between Simmi’s age and Niti’s age will be 7 : 9. Two years ago, the respective ratio between Simmi’s age and Niti’s age was 1:3. If Abhay is 4 years older to his sister Niti, what is Abhay’s present age? (in years)

  1. 8

  2. 4

  3. 16

  4. 12

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Let Simmi = S, Niti = N. (S+10)/(N+10) = 7/9 -> 9S + 90 = 7N + 70 -> 7N - 9S = 20. (S-2)/(N-2) = 1/3 -> 3S - 6 = N - 2 -> N = 3S - 4. Substitute: 7(3S-4) - 9S = 20 -> 21S - 28 - 9S = 20 -> 12S = 48 -> S = 4. N = 3(4) - 4 = 8. Abhay = N + 4 = 12.