# A Number Whose Fifth Part Increased by 5 is Equal to Its Fourth Part Diminished by 5. Find the Number. - Mathematics

Sum

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

#### Solution

Let the number be x .
According to the question,
$\frac{x}{5} + 5 = \frac{x}{4} - 5$
$\text{ or }\frac{x}{5} - \frac{x}{4} = - 5 - 5$
$\text{ or }\frac{4x - 5x}{20} = - 10$
or - x = - 200 [After cross multiplication]
or x = 200
Thus, the number is 200.

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#### APPEARS IN

RD Sharma Class 8 Maths
Chapter 9 Linear Equation in One Variable
Exercise 9.4 | Q 5 | Page 29