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The sum of the ages of father and a son presently is 70 years. After 10 years, the son’s age is exactly half that of the father. What are their ages now?
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- 45 years, 25 years
- 50 years, 20 years
- 47 years, 23 years
- 50 years, 25 years
Correct Option: B
Suppose the age of son = P years
∴ Age of the father = 70 – P
According to question ,
After 10 years , 2 ( age of son + 10 years ) = ( Age of the father + 10 years )
After 10 years , 2 (P + 10) = 70 – P + 10
⇒ 2P + 20 = 80 – P
⇒ 2P + P = 80 – 20
⇒ 3P = 60
| ∴ P = | = 20 years | 3 |
The age of son = 20 years
Age of Father = 70 - P = 70 - 20 = 50 years
