Question 972603
Do it like this:
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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