Question

X is 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

Answer 1

B) 16 . . . . the value of Z

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

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Check by finding the other values

... X = 9·4 = 36

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