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The sum of the age of a father and his son is 100 years now. 5 years ago their age were in the ratio of 2 : 1. The ratio of the age of father and son after 10 years will be
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- 5 : 3
- 4 : 3
- 10 : 7
- 3 : 5
Correct Option: A
5 years ago, let the age of father = 2x years (let)
Then, Age of son = x years
∴ 2x + 5 + x + 5 = 100
⇒ 3x = 100 –10 = 90
| ⇒ x = | = 30 | |
| 3 |
∴ Father’s present age
= 2x + 5 = 60 + 5 = 65 years
Son’s present age = x + 5
= 30 + 5
= 35 years.
After 10 years,
| Ratio = | = | = | |||
| 35 + 10 | 45 | 3 |
= 5 : 3
