The ratio of a father’s age to his son’s age is 7 : 4. The product of the numbers representing their ages is 1372. The ratio of their ages after 8 years will be:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 19 : 12.
Let's assume the ratio of a father’s age to his son’s age = 7x : 4x
According to the question,
⇒ 7x × 4x = 1372
⇒ x2 = 49
⇒ x = 7
The ratio of their ages after 8 years = 7x + 8 : 4x + 8
= 57 : 36
= 19 : 12