The difference between a number and one - fourth of itself is 24, find the number
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Step-by-step explanation:
Let the number to be x.
According to the condition,
x-\frac{1}{4}x=24
\Rightarrow\ \frac{4x-x}{4}=2
\Rightarrow\frac{3x}{4}=24
⇒x=24\times\frac{4}{3}
⇒x=8\times4
⇒x=32
∴ the required number is 32.
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