Question

Four years ago ratio of age of Ram and Rahul is 3 : 4. Ratio of their present age is 17 : 22. What is the present age of Sunil if Ram is 5 years older than Sunil?

• A. 36 years
• B. 29 years
• C. 30 years
• D. 31 years

Answer 1

Answer:

B. 29 years

Four years ago age ratio of Ram and Rahul = 3x : 4x (3x + 4)/(4x + 4) = 17/22 ⇒ 22 × (3x + 4) = 17 × (4x + 4) ⇒ 66x + 88 = 68x + 68 ⇒ 68x – 66x = 88 – 68 ⇒ 2x = 20 ⇒ x = 10 Present age of Ram = 3 × 10 = 30 + 4 = 34 Present age of Sunil = 34 – 5 = 29 years