Question

The ratio of ages of A, B and C is 2: 4: 5 and sum of their ages is 77. Find the ratio of A's age to B's age ten years hence.

• A. 10: 17
• B. 13 : 18
• C. 12: 19
• D. 11: 14

Answer 1

Answer:

C. 12: 19

Let the ratio of ages of A, B and C is be 2x, 4x and 5x respectively. 2x + 4x + 5x = 77 11x =77 x=7 10 years hence age of A = 2 x 7 + 10 = 14 + 10 = 24 10 years hence age of B = 4 * 7 + 10 = 28 + 10 = 38 Ratio of ages of A to B 10 years hence = 24:38 = 12:19