Question

The fifth part of a number when increased by $5$ equals its fourth part decreased by $5$. Find the number.

Answer 1

Let the number be $x$

$\frac{1}{5}x+5=\frac{1}{4}x-5$

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

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

$x=200$

So, the number is $200$