Question

Four years ago, the ratio of the ages of A and B was 9 : 13. Eight years hence, the ratio of the ages of A and B will be 3 : 4. What will be the ratio of their ages 4 years hence?
1. 11 : 15
2. 9 : 11
3. 5 : 7
4. 7 : 9

Answer 1

Correct Answer - Option 1 : 11 : 15

Given:

Four year ago the ratio of age of A and B is 9 : 13

Calculation:

⇒ (9x + 4 + 8)/(13x + 4 + 8) = 3/4

⇒ 36x + 48 = 39x + 36

⇒ x = 4

⇒ Present age of A = 9 × 4 + 4 = 40

⇒ Present age of B = 13 × 4 + 4 = 56

⇒ The ratio after 4 years = (40 + 4)/(56 + 4) = 44/60 = 11/15

∴ The required result will be 11/15.