Question

Find a number whose fifth part increased by 30 is equal to forth part decrease by 30

Answer 1

Let the number be x.

ATQ, 
$\frac{x}{5}$ + 30 = $\frac{x}{4}$ - 30
$\frac{x + 150}{5}$ = $\frac{x - 120}{4}$

Cross Multiply:-
4x + 600 = 5x - 600
600 + 600 = 5x - 4x
x = 1200.

So, the number whose fifth part increased by 30 is equal to the fourth part decreased by 30 is 1200.

Answer 2

Answer:-

$=\frac{x}{5}$

$= \frac{x}{4}$

$=\frac{x + 150}{5}$

$= \frac{x - 120}{4}$

By Cross Multiply:-

4x + 600 = 5x - 600

600 + 600 = 5x - 4x

x = 1200

Therefore, 1200 number whose fifth part increased by 30 is equal to forth part decrease by 30