Question

a number whose fifth part increased by 4 is equal to its fouth part diminished by 10, is​

Answer 1

answer is 280.i hope it's clear...

Answer 2

$\textbf{\huge{ANSWER:}}$

Let the number be = x

It's fifth part = $\frac{x}{5}$

It's fourth part = $\frac{x}{4}$

According to the question:-

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

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

=》 $14 = \frac{5x - 4x}{20}$

=》 $14 = \frac{x}{20}$

=》 $14\times 20 = x$

=》 $\textbf{x = 280}$