SOLUTION: The denominator of a fraction is greater than the numerator by 8. If the numerator is increased by 17 and denominator is decreased by 1, the number obtained is 3/2, find the fracti

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Question 720106: The denominator of a fraction is greater than the numerator by 8. If the numerator is increased by 17 and denominator is decreased by 1, the number obtained is 3/2, find the fraction.
Answer by god2012(113) About Me  (Show Source):
You can put this solution on YOUR website!
Solution:
Let p/q is the fraction.
Given : q = p +8 --------eq.1
When p' = p + 17 , q' = q - 1, we get
p'/q' = 3/2 = (p+17)/(q-1)
2(p + 17) = 3(q -1) = 3q - 3 = 2p + 34
3q = 2p + 31 --------------eq.2
Put eq.1 in 2, we get
3(p +8 ) = 2p + 31
3p +24 = 2p + 31
p = 7
q = 15
The fraction is 7/15