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Aman’s age is three times his son’s age. Ten years ago, he was five times his son’s age. Find their present ages.

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Aman’s age is 60 years and his son age is 20 years.

Aman’s age is 40 years and his son age is 15 years.

Aman’s age is 30 years and his son age is 33 years.

Aman’s age is 55 years and his son age is 10 years.

answer is A.

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Detailed Solution

It is given that Aman’s age is three times his son’s age and ten years ago he was five times his son’s age.
Let the present age of Aman’s son is x years then,
Aman’s age = 3x year
Linear equation from above statement will be

3 x − 10 = 5 x − 10

Solving above equation,

⇒ 3 x − 10 = 5 x − 5 × 10 ⇒ 3 x − 10 = 5 x − 50

Transposing 5x to the left-hand side and -10 to the right-hand side.

⇒ 3 x − 5 x = − 50 + 10 ⇒ − 2 x = − 40 ⇒ x = − 40 − 2 ⇒ x = 20 years

The age of Aman’s son is 20 years,
and Aman’s age is

= 3 × 20 year

= 60 years.
Hence, the presents age of Aman and his son is 60 and 20 years respectively.
Correct option is 1.

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