the fifth part of a number and increased by 5 equals its fourth part decreased by 5
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Answer:
Required \: number (x)= 200
Step-by-step explanation:
Let the number be x.
Fifth\:part \:of \:the \: number = \frac{x}{5}
Fourth \:part\:of \:the \: number = \frac{x}{4}
/* According to the problem given,
\frac{x}{5}+5 = \frac{x}{4}-5
\implies \frac{x}{5}-\frac{x}{4}=-5-5
\implies \frac{4x-5x}{20}=-10
\implies \frac{-x}{20}=-10
\implies x = -10 \times \frac{20}{-1}
\implies x = 200
Therefore,
Required \: number (x)= 200
Hence Solved::::??>>>
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