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...

The numbers are x and
y.

We'll write the first fraction x/y =
3/4.

x = 3y/4

We'll write
mathematically the second condition from
enunciation:

(x-8)/(y+8) =
1/6

y + 8 = 6(x-8)

We'll
remove the brackets:

y + 8 = 6x -
48

But x = 3y/4

y + 8 = 6*3y/4
- 48

y + 8 = 9y/2 - 48

We'll
multiply by 2 all over:

2y + 16 = 9y -
96

We'll move the terms in y to the left
side:

2y - 9y = -96 - 16

-7y =
-112

We'll divide by -7:

y =
16

We'll come back into the expression of
x:

x = 3*16/4

x =
3*4

x = 12

The
numbers are: x = 12 and y = 16.