Question : Directions: A father is 5 times as old as his son. His son is 6 years old. After how many years, will the father be 4 times as old as his son?
Option 1: 5 years
Option 2: 6 years
Option 3: 4 years
Option 4: 2 years
Correct Answer: 2 years
Solution :
Given:
The present age of the son = 6 years
The father's present age is five times the age of his son,
⇒ Father's present age = 6 × 5 = 30 years
Let's assume that after Y years, his father's age will be four times his son's age.
After Y years, Father's age = (30 + Y) years, his son's age = (6 + Y) years
According to the given statement,
⇒ 4 × (6 + Y) = (30 + Y)
⇒ 24 + 4Y = 30 + Y
⇒ 4Y – Y = 30 – 24
⇒ 3Y = 6
⇒ Y = 2
So, after 2 years the age of the father will be 4 times as old as his son. Hence, the fourth option is correct.
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