Question

If $\frac{2}{5}$ of a number exceeds $\frac{1}{7}$ of the same number by $36$. Find the number.

Answer 1

Let the number be $x$

Then according to the question,

$\frac{2}{5}x=\frac{x}{7}+36$

$\frac{2}{5}x-\frac{x}{7}=36$

$\frac{14x-5x}{35}=36$

$\frac{9x}{35}=36$

$x=140$