Question

The ratio of a father's age to his son's age is 3 ∶ 2 The product of the numbers representing their age is 486. The ratio of their ages after 5 years will be:

• A. 32 ∶ 24
• B. 32 ∶ 21
• C. 32 ∶ 22
• D. 32 ∶ 23

Answer 1

Answer:

D. 32 ∶ 23

The ratio of the ages of father to his son = 3: 2 age of the father = 3x The age of the son = 2x Product of their ages = 486 (3x)(2x) = 486 x² = 81 x = 9 The age of father = 3x = 3 x 9 = 27 years The age of son = 2x = 2 x 9 = 18 years The age of father and son after 5 years will be Father age = 27 + 5 = 32 years Son age = 18 + 5 = 23 Father age: Son age = 32: 23