Xis greater than y by 12 and z is less than y by 8. if the ratio of x: z is 9: 4. what is the ratio of value of z? a)12 b) 16 c) 20 d) 36 e) none of these

B) 16 . . . . the value of Z

Step-by-step explanation:

The problem statement tells us that ...

... x = y +12

... z = y - 8

Then x - z = (y +12) -(y -8) = 20.

In ratio units, we have ...

... x:z = 9:4

The difference of these in ratio units is 9-4 = 5, so each ratio unit must stand for 20/5 = 4 units of X, Y, or Z. Hence ...

... Z = 4·4

... Z = 16

Check by finding the other values

... X = 9·4 = 36

... Y = X -12 = 24 = Z +8 . . . . yes

y - y1 = m(x- x1)

y - (-5) = 2/3(x -0)

y + 5 = 2/3x

y = 2/3x - 5