Question

Father is 3 times son's age . The sum of their ages is 100 .Find son's age​

Answer 1

Answer:

The age of son is 25 years.

The age of father is 75 years.

Step-by-step explanation:

Given:

Let the age of the son be x

So, the father's age will be 3 times son's age so according to the question fathers age will be 3x because we have assumed the son's age as x

The sum of the age of the father and the son = 100

Framing an equation from the details given to us we get:

3x + x = 100 ( Linear equation in one variable)

Solving the linear equation:

3x + x = 100

4x = 100

x = 100 / 4

x = 25

∴ The age of son is 25 years as we have assumed the age of son as x and x = 25.

∴ The age of father is 25 * 3 = 75 years as we have assumed the age of father as 3x and 3x = 75.

Answer 2

$\large \underline{ \underline{ \sf \: Solution : \: \: \: }}$

Let ,

The son's age = x

So , the father's age = 3x

According to the question ,

$\to \sf x + 3x = 100 \\ \\ \to \sf</p><p>4x = 100 \\ \\ \to \sf </p><p>x = 25$

Therefore , the son's age is 25 years