Question

The ratio of the father's age to his son's age is 5 : 3. The product of the numbers representing their ages is 960. The ratio of their ages after 6 years will be:

• A. 23 : 15
• B. 23 : 17
• C. 21 : 15
• D. 21 : 17

Answer 1

Answer:

A. 23 : 15

Solution: Given: Father's age : son's age = 5 : 3 Father's age × son's age = 960 Calculation: Let father's age = 5x And son's age = 3x According to the question: ⇒ 5x × 3x = 960 ⇒ 15x2 = 960 ⇒ x2 = 960/15 = 64 ⇒ x = √64 = 8 Father's age = 5x = 5 × 8 = 40 years Son's age = 3x = 3 × 8 = 24 years Required ratio = 40 + 6 : 24 + 6 ⇒ 46 : 30 = 23 : 15 ∴ The correct option is 1.