Question 411917: a fraction has a value 3/4. if 4 is added to its numerator and 8 is subtracted from its denominator, the value of the resulting fraction is 1. what is the original fraction?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a fraction has a value 3/4. if 4 is added to its numerator and 8 is subtracted from its denominator, the value of the resulting fraction is 1. what is the original fraction?
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Equations:
(x/y) = 3/4
(x+4)/(y-8) = 1
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Rearrange:
4x-3y = 0
x+4 = y-8
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4x-3y = 0
x-y = -12
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Multiply thru the 2nd equation by 3:
4x-3y = 0
3x-3y = -36
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Subtract and solve for "x":
x = 36
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Solve for "y":
x+4 = y-8
36+4 = y-8
y = 48
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Original Fraction:
x/y = 36/48
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Cheers,
Stan H.
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