Question 720106
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