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When you add 18 to 1/4 of a number you get the number itself

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x - the number


(1)/(4)x+18=x \\ 18=x-(1)/(4)x \\ 18=(3)/(4)x \ \ \ |* (4)/(3) \\ 18 * (4)/(3) = x \\ 6 * 4=x \\ x=24

The number is 24.
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