-
The ratio of the ages of a father and his son 10 years hence will be 5 : 3, while 10 years ago, it was 3:1. The ratio of the age of the son to that of the father today, is
-
- 1 : 2
- 1 : 3
- 2 : 3
- 2 : 5
Correct Option: A
Let the age of father 10 years hence is 5x years, then age of son 10 years hence will be 3x years.
According to the question,
| = | ||
| 3x − 10 − 10 | 1 |
| = | ||
| 3x − 20 | 1 |
⇒ 5x – 20 = 9x – 60
⇒ 4x = 40 or x = 10
∴ Required ratio
= (3x – 10) : (5x – 10)
= 20 : 40 = 1 : 2
