Question

The number is as much greater than $27$ as it is less than $73$. Find the number.

Answer 1

Let number be $\mathrm{x}$

So, according to given condition

$\mathrm{x}$ is as much greater than $27$ as it is less than $73$ that means,

$\mathrm{x}-27=73-\mathrm{x}$

$$\begin{gathered} \Rightarrow \mathrm{x}+\mathrm{x}=73+27 \\ \Rightarrow 2\mathrm{x}=100 \\ \Rightarrow \mathrm{x}=\frac{100}{2} \\ \Rightarrow \mathrm{x}=\frac{{\displaystyle \stackrel{50}{\cancel{100}}}}{\cancel{2}} \\ \Rightarrow \mathrm{x}=50 \end{gathered}$$

Hence the number is $50$.