Question

The sum of the ages of a father and his son is $60$ years . If the son's age is $30$ years less than the father's age , find the age of the father .

Answer 1

Let us take $x$is the age of father .

and the age of son is $=x-30$ years .

According to question ,

The sum of ages of father and his son $=60$

$\begin{array}{rcl}& \Rightarrow & x+x-30=60\\ & \Rightarrow & 2x=60+30\\ & \Rightarrow & 2x=90\\ & \Rightarrow & x=\frac{90}{2}\\ & \Rightarrow & x=45\end{array}$

Hence , the required age of father is $45$ .