Question

a father is three times as old his son affter12years the age of father becomes double of the age of his son find the present age of his father and son?
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Answer 1

Answers:-

✳ Present age of son = 12 years.

✳ Present age of the father = 36 years.

SOLUTION

Let us assume that the present age of the son = 'x' years.

Then , according to the question father is three times as old his son.

$\implies$ Present age of the father = 3x $\longrightarrow$(1)

Also , it is said in the question that after 12years the age of father becomes double of the age of his son.

The age of son after 12 years = x + 12 years.

                            and

The age of father after 12 years = 2 (x + 12).

$\implies$ 3x + 12 = 2(x + 12)

$\implies$ 3x + 12 = 2x + 24

$\implies$ 3x - 2x = 24 - 12

$\implies$ x = 12

The present age of the son (x) = 12 years.

From(1) , age of father = 3x

$\implies$ 3 × 12 = 36 years.

The present age of the father (3x) = 36 years.