Question

A number whose fifth part increased by $4$ is equal to its fourth part reduced by $10$. Find the number.

Answer 1

Let the number be $x$. Then,

$\frac{x}{5}+4=\frac{x}{4}-10$

$\Rightarrow 14=\frac{x}{4}-\frac{x}{5}$

$\Rightarrow 14=\frac{5x-4x}{20}$

$\Rightarrow 14=\frac{x}{20}$

$\Rightarrow x=280$

Hence, the number is $280$.