Question

Sum of the ages of a father and son is 40 years. If a father's age is 3 times that of his sons, then find their respective ages

Answer 1

Answer :-

The age of father is 30 years and son is 10 years old.

Explanation :-

Given :

Sum of their ages = 40

Father is = 3 times of the son's age

To find :

Their present ages

Solution :

Consider the age of the son as x

Consider the age of the father as 3x

$\star$As Given in the Question :

$\boxed{\sf{x + 3x = 40}}$

$\sf{\implies}x + 3x = 40$

$\sf{\implies}4x = 40$

$\sf{\implies}x = \dfrac{40}{4}$

$\sf{\implies}x = 10$

$\boxed{\sf{x = 10}}$

Value of 3x

$\sf{\implies}3 \times x$

$\sf{\implies}3 \times 10$

$\sf{\implies}30$

$\boxed{\sf{Father \: is \: 30 \: years \: old}}$

${\boxed{\sf{Son \: is \: 10 \: years \: old}}}$

$\therefore$ The age of father is 30 years and son is 10 years old.

Verification :-

$\sf{\implies}30 + 10 = 40$

$\sf{\implies}40 = 40$

The sum of their ages is 40.

$\therefore$ The age of father is 30 years and son is 10 years old.