TippingPoint93 wrote:

Bump -- could someone please explain why the answer isn't A? This question comes from

Jeff Sackman's Word Problem Challenge, btw.

The first statement is sufficient to get x,

Solving by alligation method,

x y

20 5

12 (z = x+y)

7 8

Hence x and y will be in

7:8 ratio.Statement 1: y = 16

If y = 16, to maintain the ratio of 7:8, x will have to be 14.

Sufficient.

Statement 2: z=30

z is nothing but x+y,

so x = \(\frac{7}{15}* 30\)

Which is 7*2 = 14.

Sufficient.Hence answer is

D.

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