SOLUTION: The denominator of a fraction exceeds the numerator by 2.if 4 is subtracted from numerator or 12 is added to the denominator the same fraction is obtained. Find the fraction.

Algebra ->  Linear-equations -> SOLUTION: The denominator of a fraction exceeds the numerator by 2.if 4 is subtracted from numerator or 12 is added to the denominator the same fraction is obtained. Find the fraction.       Log On


   

Question 1090327: The denominator of a fraction exceeds the numerator by 2.if 4 is subtracted from numerator or 12 is added to the denominator the same fraction is obtained. Find the fraction.
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
x%2F%28x%2B2%29, the fraction

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if 4 is subtracted from numerator or 12 is added to the denominator the same fraction is obtained.
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%28x-4%29%2F%28x%2B2%29=x%2F%28x%2B2%2B12%29
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%28x-4%29%2F%28x%2B2%29=x%2F%28x%2B14%29
x%28x%2B2%29=%28x-4%29%28x%2B14%29
x%5E2%2B2x=x%5E2-4x%2B14x-56
2x=10x-56
8x=56
x=7
Original Fraction, highlight%287%2F9%29