The ratio of the 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:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is Option 2 i.e 52.
Let the present age of A and B be 7x and 8x
After six years,
Age of A and B becomes (7x + 6) and (8x + 6)
According to the question,
⇒ (7x + 6)/(8x + 6) = 8/9
⇒ 9(7x + 6) = 8(8x + 6)
⇒ 63x + 54 = 64x + 48
⇒ x = 6
So,
The present age of A = 7x = 7 × 6 = 42 years and,
The present age of C = 42 + 10 = 52 years