# What are the numerator and denominator of a fraction if them ratio is 3/4 ? If subtracting 8 from numerator and adding 8 to denominator the ratio is 1/6.

We are given given that the ratio of the numerator and the denominator is 3/4

Let the numerator be N and the denominator be D

N/ D = 3/4

=> N = (3/4)*D

(N - 8)/ ( D + 8) = 1/6

=> 6N - 48 = D + 8

=> 6*(3D / 4) = D + 56

=> 9D/2 = D + 56

=> 9D / 2 - 2D / 2 = 56

=> 7D / 2 = 56

=> D = 56*2 / 7

=> D = 16

N = (3/4)*D = (3/4)*16 = 12

The numerator is 12 and the denominator is 16.

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