Question

The present age of a father is 26 more than the present age of his son. After 5 years the age of his son is three times the age of his father. Find the present age of the son and his father.​

Answer 1

$\sf\Large{\underline{\underline{Question}}}:-$

The present age of the father is 26 more than the present age of his son. After 5 years the age of his son is three time the age of his father. Find the present age of the son and his father.

$\sf\Large{\underline{\underline{Solution}}}:-$

Let "x" be the present age of the son.

Then,

The present age of the father is (x + 26).

By the question,

(x + 26) + 5 = 3 (x + 5)

Since, after 5 years the age of the son is 3 times the age of the father.

$\implies$ x + 26 + 5 = 3x + 15

$\implies$ x + 31 = 3x + 15

$\implies$ 31 - 15 = 3x - x

$\implies$ 16 = 2x

$\sf\implies \frac{16}{2} = x$

$\implies{\boxed{x = 8}}$

$\therefore$ The present age of the son = 8 years

and,

The present age of the father = 8 + 26 = 34 years

$\pink{Hope \: it \: helps}$