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:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 23:15.
Let the father's age = 5x and son's age = 3x
5x × 3x = 960 ⇒ 15x² = 960
⇒ x² = 64 ⇒ x = 8
So, father's age = 5×8 = 40 years
Son's age = 3×8 = 24 years
After 6 years:
Father = 46, Son = 30
Required ratio = 46 : 30 = 23 : 15