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Re: If k > 0, x + k = y, and y + 3k = z, what is the ratio betwe [#permalink]
02 Oct 2013, 11:07

1

This post received KUDOS

If k > 0, x + k = y, and y + 3k = z, what is the ratio between z � x and y � x ?

(A) 1 to 4 (B) 1 to 2 (C) 2 to 1 (D) 3 to 1 (E) 4 to 1

Picking numbers is probably the fastest solution to solve this problem. First, k>0 = k could be ANY positive number. For the purposes of the explanation K= 2. x + 2 = y and y + 3(2) = z. Rearrange the latter equation as to isolate y.

X + 2 = Y Z - 6 = Y

Now pick Any number for Y. For the sake of our example Y will be 10. Now the equation looks like:

X + 2 = 10 Z - 6 = 10

Solve for X. Solve for Z. X= 8 and Z = 16

what is the ratio between z � x and y � x 16 to 8 as 10 to 8 8 2 8/2 = 4 2/2=1

Thus answer choice E is correct- 4 to 1. Kudos please