Question

Question 94

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

Answer 1

Let the number be x. If we substract 27 from x. i.e. (x - 27) and substract x from 73 i.e. (73 - x), we get the same result. Therefore, we get the following equation
x - 27 = 73 - x
$\Rightarrow x+x=73+27\left[transposing\right(-27\left)toRHSand\right(-x\left)toLHS\right]\Rightarrow 2x=100\Rightarrow \frac{2x}{2}=\frac{100}{2}\left[dividingbothsidesby2\right]\Rightarrow x=50$
Hence, the required number is 50.