Question

The ratio of present ages (in years) of a father and son is 15 : 8. Six years ago, the ratio of their ages was 13 : 6 What is the father's present age ?

• A. 78 years
• B. 45 years
• C. 58 years
• D. 65 years

Answer 1

Answer:

B. 45 years

Solution: Given: The ratio of present ages (in years) of a father and son is 15 : 8. Six years ago. And the ratio of their ages was 13 : 6. Calculation: Let the present age of father be 15x years. And the present age of son be 8x years. According to the question: (15x – 6)/(8x – 6 ) = 13/6 ⇒ 90x – 36 = 104x – 78 ⇒ - 14x = - 42 ⇒ x = 3 ∴ The present age of father is 15x years = 15 × 3 = 45 years.