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Unsimplified Fraction

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Unsimplified Fraction

The numerator of a fraction is 24 less than its denominator.  When written in reduced form, the fraction is written as
3
5
. What is the fraction?

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Problem by Mr. Twitchell

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A certain number, divided by two more than that number, is subtracted from one. The result is divided by one less than the number, and the final result is
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Find x if
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