A father is 36 years older than his son. In 6 years, the father’s age will be 3 times the age of his son. What is the father’s present age?
- 48 years
- 44 years
- 46 years
- None of these
Explanation
Father is 36 years older than son.
So father's present age = x + 36 years
After 6 years:
Son's age = x + 6 years
Father's age = x + 36 + 6 = x + 42 years
Given: In 6 years, father's age will be 3 times the age of his son.
So, x + 42 = 3 * (x + 6)
Solve the equation:
x + 42 = 3x + 18
42 - 18 = 3x - x
24 = 2x
x = 12
Son's present age = 12 years
Father's present age = x + 36 = 12 + 36 = 48 years
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