The denominator of a fraction is four more than twice the numerator. If both numerator and denominator are decreased by nine, the simplified result is 13. Find the original fraction. (Do NOT simplify.)

Answer 1

x / (2 x+4)

(x-9) / (2x-5) = 13
x-9 = 26 x - 65
25 x = 56
x = 56/25

x / (2 x+4) = (56/25 / [ (112/25) + (100 /25) ]
= 56 / 212