Question

A number when added to its half gives 72. Find the number.

Answer 1

$\begin{array}{l}\text{Let the required number be}x.\\ \text{Then, we have:}\\ \Rightarrow x+\frac{x}{2}=72\\ \Rightarrow \frac{2x+x}{2}=72\\ \Rightarrow \frac{3x}{2}=72\\ \Rightarrow 3x=72\times 2\\ \Rightarrow x=\frac{\sout{7}{\sout{2}}^{24}\times 2}{\begin{array}{l}{\sout{3}}_1\\ =48\end{array}}\\ \therefore \text{The required number is 48.}\end{array}$