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Question

What is the number whose fifth part increased by 30 is equal to its fourth part decreased
Please justify it.

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Solution

Let the number be x

Its fifth part is = x/5

Its fourth part is= x/4

A.T.Q

(X/5) +30 = (X/4) - 30

(X/5) -(X/4) = -30-30

(4X-5X)/20 = -60

-X = -60 *20

-X= - 1200

X= 1200
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The number is 120

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