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If x + 2y = z, what is the value of x?

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If x + 2y = z, what is the value of x? [#permalink] New post 19 Nov 2009, 06:10
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64% (01:58) correct 36% (00:53) wrong based on 117 sessions
If x + 2y = z, what is the value of x?

(1) 3y = 4.5 + 1.5z

(2) y = 2
[Reveal] Spoiler: OA

Last edited by Bunuel on 17 Mar 2015, 06:28, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: If x + 2y = z, what is the value of x? [#permalink] New post 19 Nov 2009, 07:24
kairoshan wrote:
If x + 2y = z, what is the value of x?

(1) 3y = 4.5 + 1.5z

(2) y = 2


A

1.equating this in x+2y =z we can find the value of x.suff
2. we do not know value of z hence insuff
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Re: If x + 2y = z, what is the value of x? [#permalink] New post 17 Mar 2015, 05:16
with 1, we get this equation:
y=1.5+0.5z
rearranging the first equation, we get: x+3+z=z
cancel Z's: z+3 = 0 -> x=-3
2. we still have Z for which we have no information.

answ. A
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Re: If x + 2y = z, what is the value of x? [#permalink] New post 17 Mar 2015, 06:46
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Re: If x + 2y = z, what is the value of x? [#permalink] New post 17 Mar 2015, 08:34
If you try to solve this question without using pen then mostly you will get wrong answer as the equations are written to manipulate.
Simplify equations , using only statement 1 , you will get answer as x=-3.
Hence , statement 1 is enough.
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Re: If x + 2y = z, what is the value of x? [#permalink] New post 18 Mar 2015, 18:54
Expert's post
HI All,

This DS question is based on the idea of spotting a common 'multiple' among variables (and it's a concept that you'll likely see at least once on Test Day).

If you don't spot the multiple though, you can still get to the correct answer. While the work will take a little more effort, you can TEST VALUES and prove that a pattern exists.

We're told that X + 2Y = Z. We're asked for the value of X.

Fact 1: 3Y = 4.5 + 1.5Z

IF.....
Z = 0
3Y = 4.5
Y = 1.5

X + 2(1.5) = 0
X + 3 = 0
X = -3
The answer to the question is -3

IF...
Z = 2
3Y = 7.5
Y = 2.5

X + 2(2.5) = 2
X + 5 = 2
X = -3
The answer to the question is -3

IF....
Z = -3
3Y = 0
Y = 0

X + 2(0) = -3
X = -3
The answer to the question is -3

This is clearly a pattern. X is ALWAYS equal to -3
Fact 1 is SUFFICIENT

Fact 2: Y = 2

With this information, the original equation becomes....
X + 2(3) = Z
X + 6 = Z

Without the value of Z, we cannot figure out the value of X.
Fact 2 is INSUFFICIENT

Final Answer:
[Reveal] Spoiler:
B


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Re: If x + 2y = z, what is the value of x?   [#permalink] 18 Mar 2015, 18:54
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