SOLUTION: The numerator of the fraction is 8 less than the denominator. If 1 is added to the numerator and subtracted from the denominator, the resulting fraction is 2/3. Find the fraction

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Question 991330: The numerator of the fraction is 8 less than the denominator. If 1 is added to the numerator and subtracted from the denominator, the resulting fraction is 2/3. Find the fraction
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The original fraction is,
%28x-8%29%2Fx
Then it becomes,
%28x-8%2B1%29%2F%28x-1%29=2%2F3
2%28x-1%29=3%28x-8%2B1%29
2x-2=3x-24%2B3
2x-2=3x-21
-x=-19
x=19
So the original fraction was,
11%2F19