SOLUTION: The ratio of the numerator to the denominator of a certain fraction is one to four. If three is added to the numerator and subtracted from the denominator, the new fraction reduces
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Question 972603: The ratio of the numerator to the denominator of a certain fraction is one to four. If three is added to the numerator and subtracted from the denominator, the new fraction reduces to one-third. Find the original fraction. Answer by Alan3354(69443) (Show Source):
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The ratio of the numerator to the denominator of a certain fraction is three to five. If two is added to the numerator and five is subtracted from the denominator, the new fraction reduces to four-fifths. Find the original fraction.
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Original is 3x/5x
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(3x+2)/(5x-5) = 4/5
5(3x+2) = 4(5x-5)
15x+10 = 20x-20
30 = 5x
x = 6
--> 18/30
