The ratio of the age of a father to his son is 3 : 2. The product of the numbers representing their age is 486. Find the ratio of their ages after 5 years.
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 32 : 23.
Given that,
The ratio of the age of a father to his son is 3 : 2
According to the question,
⇒ 3x × 2x = 486
⇒ 6x2 = 486
⇒ x2 = 81
⇒ x = 9
The ratio of their ages after 5 years = (3x + 5)/(2x + 5)
⇒ (3 × 9 + 5)/(2 × 9 + 5)
⇒ (27 + 5)/(18 + 5) = 32/23 = 32 : 23