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If x, y, and z are all nonzero numbers, and x = y + z, which of the fo

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If x, y, and z are all nonzero numbers, and x = y + z, which of the fo [#permalink]

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New post 25 Apr 2017, 04:27
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If x, y, and z are all nonzero numbers, and x = y + z, which of the following is equal to 1?

(A) (y – z)/x
(B) (y – x)/z
(C) (z – x)/y
(D) (z – y)/x
(E) (x – z)/y

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Re: If x, y, and z are all nonzero numbers, and x = y + z, which of the fo [#permalink]

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New post 25 Apr 2017, 06:03
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Bunuel wrote:
If x, y, and z are all nonzero numbers, and x = y + z, which of the following is equal to 1?

(A) (y – z)/x
(B) (y – x)/z
(C) (z – x)/y
(D) (z – y)/x
(E) (x – z)/y


NOTE: this is one of those questions that require us to check/test each answer choice. In these situations, always check the answer choices from E to A, because the correct answer is typically closer to the bottom than to the top.

For more on this strategy, see my article: http://www.gmatprepnow.com/articles/han ... -questions

Given: x = y + z

E) (x – z)/y
Replace x with y + z to get: (y + z - z)/y
Simplify: y/y
This definitely equals 1.

Answer:

Cheers,
Brent
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Re: If x, y, and z are all nonzero numbers, and x = y + z, which of the fo [#permalink]

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New post 25 Apr 2017, 06:05
Given x = y+z
Plugging numbers 3 = 2+1
Only expression E will give the desired result(Option E)
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Re: If x, y, and z are all nonzero numbers, and x = y + z, which of the fo [#permalink]

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New post 25 Apr 2017, 07:17
Let us assume x = 3 , y=2 and z= 1
And substituting in the answer options
E gives 1

Ans E

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Re: If x, y, and z are all nonzero numbers, and x = y + z, which of the fo [#permalink]

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New post 27 Apr 2017, 11:50
Given that x = y + z
So, y = x - z or
z = x - y

Search for option all the combination (x-z).
only, option E match to y .

Ans: Option E
Re: If x, y, and z are all nonzero numbers, and x = y + z, which of the fo   [#permalink] 27 Apr 2017, 11:50
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