Question

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

Answer 1

Question :-

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

Required Solution :-

• The number will be 200.

Explanation :-

• Let the number be " x "

$\qquad$ ☀️It's given, the fifth part of a number when increased by 5 equals its fourth part decreased by 5.

$\qquad$ According to the question :-

$\qquad \pmb{\sf\longrightarrow \dfrac{x}{5} + 5 = \dfrac{x}{4} - 5}$

$\qquad \pmb{\sf\longrightarrow \dfrac{x}{5 }- \dfrac{x}{4} = -5 -5}$

$\qquad \pmb{\sf\longrightarrow \dfrac{(4x - 5x)}{20} = -10}$

$\qquad \pmb{\sf\longrightarrow \dfrac{-x}{20} = -10}$

$\qquad \pmb{\sf\longrightarrow -x = -10 \times 20}$

$\qquad \pmb{\sf\longrightarrow -x = -200}$

$\qquad \longrightarrow {\pink{\underline{\underline{\pmb{\sf{ x= 200}}}}}}$

Therefore–

• The number will be 200.

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