Two years ago, a father was three times as old as his son and two years hence, twice his age will be equal to five times that of his son. Find the present age of father

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answer is A.

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Detailed Solution

Concept: In order to answer this question, we must make the assumption that the son's age is a quantity that can be described mathematically or in an equation that will help us determine the relationship between the two people. This problem can be resolved using this equation.
Let's assume that the son is

years old.
First condition: The father would have been three years old and the son

years old two years ago

∴ The present age of father would be

Second condition: In two years, the father will be

years old.
Son's age in two years will be

Additionally, given that, he will be five times older than his kid, i.e

We calculated the age of our son to be

, which is currently 14 years old.
Father is currently 38 years old (3 times 14).
Hence, the correct answer is option 1

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