Question

The ratio of present ages of A and B is 7 : 8. After 6 years from now, the ratio of their ages will be 8 : 9. If C's present age is 10 years more than the present age of A, then the present age (in years) of C is:

• A. 59
• B. 56
• C. 45
• D. 52

Answer 1

Answer:

D. 52

Let present ages of A and B be 7x, 8x (7x + 6)/(8x + 6) = 8/9 ⇒ 63x + 54 = 64x + 48 ⇒ 64x – 63x = 54 – 48 ⇒ x = 6 Present age of C = 7 × 6 + 10 ⇒ 42 + 10 ⇒ 52 years