Question

the forth part of a number when decreased by 5 equals its fifth part increased by 5 find the number​

Answer 1

Answer:

Required \: number (x)= 200Requirednumber(x)=200

Step-by-step explanation:

Let the number be x.

Fifth part of the number = frac{x}{5}

Fifth part of the number= 5x

Fourth part of the number = \frac{x}{4}Fourthpartofthenumber= 4x

According to the problem given,

frac{x}{5}+5 = frac{x}{4}-5 5x+5= 4x −5

implies frac{x}{5}-frac{x}{4}=-5-5⟹ 5x − 4x =−5−5

implies frac{4x-5x}{20}=-10⟹ 204x−5x =−10

implies frac{-x}{20}=-10⟹ 20−x =−10

implies x = -10 \times \frac{20}{-1}⟹x=−10× −120

implies x = 200⟹x=200

Therefore,

Required number (x)= 200Requirednumber(x)=200

Answer 2

X=200

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