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The average ae of a father and his two sons is 25 years. Father's age is 40 years and elder son is 3 years older than the younger son. Then what is the age of the younger son?

The average ae of a father and his two sons is 25 years. Father's age is 40 years and elder son is 3 years older than the younger son. Then what is the age of the younger son? Correct Answer 16 years

Given that:

The average age of 3 persons = 25 years

Total age = 25 × 3 = 75 years

We know that father's sage = 40 years.

Then sum of both son's age = 75 - 40 = 35 years.

Let the age of the younger son be x years.

Then, the age of the elder son = (x + 3) years.

⇒ x + (x + 3) = 35 years

⇒ x + x + 3 = 35 years

⇒ 2x = (35 - 3) years

⇒ 2x = 32 years

⇒ x = 16 years

Thus the age of the younger son = 16 years.

Hence, the correct answer is "16 years".

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