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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


Team Careers360 25th Jan, 2024
Answer (1)
Team Careers360 26th Jan, 2024

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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