The ratio of the present age of a father to that of his son is 5 : 2. After 5 years their ages will be in the ratio of 7 : 3. The present age of the father is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 100 years.
Let the present age of father and son be 5x and 2x respectively.
Age of father 5 years later = 5x + 5
Age of son 5 years later = 2x + 5
Now, according to question:
3 (5x+5) = 7 (2x+5)
⇒15x + 15 = 14x + 35
⇒15x−14x = 35−15
⇒ x = 20
Present Age of father = (5 × 20)=100 years