SOLUTION: The denominator of a certain fraction is th ree times the numerator. If 2 is added to the numerator and subtracted from the denominator, the result equals 3/5. Find the original f

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Question 675040: The denominator of a certain fraction is th
ree times the numerator. If 2 is added to the numerator and subtracted from the denominator, the result equals 3/5. Find the original fraction
Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
x = denominator
y = numerator
...
x = 3y
%28y%2B2%29%2F%28x-2%29+=+3%2F5
...
Substitute x into the second equation
%28y%2B2%29%2F%283y-2%29+=+3%2F5
Cross Multiply
5(y+2) = 3(3y-2)
...
Distribute
5y + 10 = 9y - 6
...
Group like terms
5y - 9y = -6 - 10
-4y = -16
...
Divide both sides by -4
highlight_green%28y+=+4%29
x = 3(4) = highlight_green%28x=12%29
...
Original fraction is highlight%284%2F12%29
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