Question

A number whose fifth part when increased by 4 is equal to its fourth part decreased by 10. What is the number?

Answer 1

Let the number be x.

Given that A number whose 5th part when increased by 4 = 1/4th decreased by 10.

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

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

$\frac{4x - 5x}{20} = -14$

$\frac{-x}{20} = -14$

-x = -280

x = 280.


Therefore the number = 280.


Hope this helps!

Answer 2

HELLO DEAR,

let the no. be x


GIVEN THAT:-

the no. whose 5th part is increased by 4 the no. will become its 4part decreased by 10

$\frac{x}{5} + 4 = \frac{x}{4} - 10 \\ \\ = > \frac{x}{5} - \frac{x}{4} = - 10 - 4 \\ \\ = > \frac{4x - 5x}{20} = - 14 \\ \\ = > \frac{ - x}{20} = - 14 \\ \\ = > - x = - 280 \\ \\ = > x = 280$



I HOPE ITS HELP YOU DEAR,
THANKS