find the number whose fifth part is increased by 5 equal to its fourt part is diminished by 5
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Answer: X = 200
Step-by-step explanation:
Let number be 'X'
> It's fifth part = X/5
> Fourth part = X/4
X/5 + 5 = X/4 - 5
> (X + 25) / 5 = (X -20) / 4
> 4(X + 25) = 5(X - 20)
> 4X + 100 = 5X - 100
> 5X - 4X = 200
> Hence, X = 200 <
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