Question

A number whose fifth part increased by $5$ is equal to its fourth part diminished by $5$. Find the number.

Answer 1

Let us consider the number as ${}^{\prime }{x}^{\prime }$

According to the question,

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

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

$\frac{4x-5x}{20}=-10$

$4x-5x=-10\left(20\right)$

$-x=-200$

$x=200$

Hence, the number is $200$.