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Does x + c = y + c ? (1) x = y (2) x = c
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23 Mar 2017, 12:12
23 Mar 2017, 12:12
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A
B
C
D
E
Difficulty:
5%
(low)
Question Stats:
84% (00:28) correct
16%
(00:40)
wrong
based on 383
sessions
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Joined: 17 Jul 2014
Posts: 2145
Given Kudos: 236
Location: United States (IL)
Concentration: Finance, Economics
Schools: Stanford '20 (WD)
GMAT 1: 650 Q49 V30 
GPA: 3.92
WE:General Management (Transportation)
Re: Does x + c = y + c ? (1) x = y (2) x = c
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23 Mar 2017, 12:25
23 Mar 2017, 12:25
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racingip wrote:
The solution is supposed to be A. Yet, I am not clear about that.
My approach is as follows:
First, I simplify the equation: x+c=y+c, so I get x=y. The question becomes, is x=y?
Statement 1: x=y. Sufficient
Statement 2: x=c. Substituting x in the original equation we get x+x=y+x; 2x =y+x, and then x=y. So statement 2 is sufficient.
Solution is option D.
I am not sure what I am missing.
My approach is as follows:
First, I simplify the equation: x+c=y+c, so I get x=y. The question becomes, is x=y?
Statement 1: x=y. Sufficient
Statement 2: x=c. Substituting x in the original equation we get x+x=y+x; 2x =y+x, and then x=y. So statement 2 is sufficient.
Solution is option D.
I am not sure what I am missing.
you are not correct, and I will provide few examples.
statement 1 is sufficient as you say.
x=y, that means c=c all the times
say x=2, y=2, c=-2
2-2=2-2 = always true.
statement 2 is not sufficient, and here is why:
case 1:
x=c
x=2, c=2, y=2
2+2=2+2 - true
case 2:
x=c
x=2, c=2. y=-2
2+2=y+2 - not true
Y can be ANY number, therefore, it's an additional coefficient that we don't know
A is the answer.
don't take the QUESTION as a statement - you are asked whether x+c=y+c, not given it as a FACT!
General Discussion
Re: Does x + c = y + c ? (1) x = y (2) x = c
[#permalink]
23 Mar 2017, 12:18
23 Mar 2017, 12:18
The solution is supposed to be A. Yet, I am not clear about that.
My approach is as follows:
First, I simplify the equation: x+c=y+c, so I get x=y. The question becomes, is x=y?
Statement 1: x=y. Sufficient
Statement 2: x=c. Substituting x in the original equation we get x+x=y+x; 2x =y+x, and then x=y. So statement 2 is sufficient.
Solution is option D.
I am not sure what I am missing.
My approach is as follows:
First, I simplify the equation: x+c=y+c, so I get x=y. The question becomes, is x=y?
Statement 1: x=y. Sufficient
Statement 2: x=c. Substituting x in the original equation we get x+x=y+x; 2x =y+x, and then x=y. So statement 2 is sufficient.
Solution is option D.
I am not sure what I am missing.
