Answer:
14
Step-by-step explanation:
Let the original denominator be 2x.
The original numerator is x.
The original fraction is x/(2x).
The numerator is increased by 2, and the denominator is decreased by 2.
The new fraction is (x + 2)/(2x - 2).
The new fraction equals 3/4.
(x + 2)/(2x - 2) = 3/4
Cross multiply.
4(x + 2) = 3(2x - 2)
4x + 8 = 6x - 6
-2x = -14
x = 7
The original numerator was 7.
2x = 2(7) = 14
The original denominator was 14.
