SOLUTION: The sum of the numerator and the denominator of a fraction is 20. If the numerator is increased by 3 and the denominator is decreased by 2, the value of the resulting fraction is 3

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Question 1011670: The sum of the numerator and the denominator of a fraction is 20. If the numerator is increased by 3 and the denominator is decreased by 2, the value of the resulting fraction is 3/4. Find the original fraction.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x=numerator
20-x=denominator
(x+3)/(20-x-2)=3/4
cross multiply
4(x+3)=3(18-x)
distribute
4x+12=54-3x
7x=42
x=6
The fraction is 6/14
9/12=3/4