Question

The ratio of ages of Suraj and Mohan 4 years ago was 7 : 8 and after 5 years from now, their ratio will become 10 : 11. Find the present age of Suraj.

• A. 24 years
• B. 25 years
• C. 28 years
• D. 21 years

Answer 1

Answer:

B. 25 years

Let the ages of Suraj and Mohan 4 years ago be 7x and 8x respectively Present age of Suraj = 7x + 4 Present age of Mohan = 8x + 4 Age of Suraj after 5 years = (7x + 4) + 5 Age of Mohan after 5 years = (8x + 4) + 5 (7x + 9)/(8x + 9) = 10/11 ⇒ (7x + 9) × 11 = (8x + 9) × 10 ⇒ 77x + 99 = 80x + 90 ⇒ 3x = 9 ⇒ x = 3 Present age of Suraj = 7x + 4 ⇒ (7 × 3 + 4) years ⇒ 25 years