Question

The numerator of a fraction is 8 less than the denominator. If 1 is added to the numerator and subtracted from the denominator, the resulting fraction is 2/3. Find the fraction.

Answer 1

Answer:

11/19

Step-by-step explanation:

N = D - 8

N+1 / D-1 = 2/3

3N + 3 = 2D - 2

2D - 3N = 5

2D - 3(D - 8) = 5

2D -3D + 24 = 5

D = 19

N = 11

Fraction is 11/19