Question

The ratio between the present ages of A and B is 3 : 5. If the ratio of their ages five years after becomes 13 : 20, then the present age of B is:

• A. 40 years
• B. 35 years
• C. 30 years
• D. 32 years

Answer 1

Answer:

B. 35 years

Solution: Given: The ratio between the present ages of A and B is 3 : 5. The ratio of their ages five years after becomes 13 : 20. Calculation: Let the proportional ratio be x According to the question, (3x + 5)/(5x + 5) = 13/20 ⇒ 60x + 100 = 65x + 65 ⇒ 5x = 35 ⇒ x = 7 The present age of B = 5x = 5 × 7 = 35 ∴ The present age of B is 35 years.