The ages of Mr. Kumar and his son are in the ratio 5: 3. Fifteen years back this ratio was 2: 1. What was the age (in years) of Mr. Kumar when his son was born?
This questions was previously asked in
EPFO APFC 2023
Explanation:
- The current ages of Mr. Kumar and his son are in the ratio of 5:3.
- Let their present ages be 5x and 3x respectively.
- Fifteen years ago, their ages were (5x - 15) and (3x - 15).
- At that time, their age ratio was 2:1.
- So, (5x - 15)/(3x - 15) = 2/1.
- By solving this equation: 5x - 15 = 2(3x - 15), you get 5x - 15 = 6x - 30.
- Simplified, x = 15.
- Thus, Mr. Kumar's current age is 5x = 75 years.
- His son's current age is 3x = 45 years.
- Mr. Kumar was 75 - 45 = 30 years old when his son was born.
- Option:1 - 30 is the correct answer.