Question

# A fraction becomes 12 if 5 is subtracted from its numerator and 3 is subtracted from its denominator. If the denominator of this fraction is 5 more than its numerator, find the fraction.

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Solution

## Let fraction =xy 2x−10=y−32x−y=7−−−−(1)and y=x+5 put this in (1) 2x−(x+5)=72x−x−5=7x=7+5x=12y=x+5y=12+5=17fraction=1217

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