Question

find the number whose fifth part increased by 5 is equal to its fourth part diminished by 5.​

Answer 1

Answer:

$Required\: number = 200$

Step-by-step explanation:

Let the number be x.

$Fifth \: part \: of \: the \\number = \frac{x}{5}$

$Fourth \: part \: of \: the \\number = \frac{x}{4}$

According to the problem given,

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

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

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

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

$\implies 10=\frac{x}{20}$

$\implies 10\times 20=x$

Therefore,

$x = 200$

•••♪