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# If x and y are integers, what is the value of x + y?

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Manager
Joined: 02 Dec 2012
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If x and y are integers, what is the value of x + y?  [#permalink]

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06 Dec 2012, 03:59
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82% (00:42) correct 18% (00:49) wrong based on 1239 sessions

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If x and y are integers, what is the value of x + y?

(1) $$3<\frac{(x+y)}{2}<4$$

(2) $$2<x<y<5$$
Veritas Prep GMAT Instructor
Joined: 11 Dec 2012
Posts: 313
Re: If x and y are integers, what is the value of x + y?  [#permalink]

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18 Apr 2013, 11:56
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2
OmniPrep wrote:
The key for me after getting the question wrong was to understand the question is not asking for X and Y, but 'X + Y'.

I had at first ousted A due to the possibility of X and Y being combinations like 1+6, 2+5, 3+4. The key was in the wording...they all add up to 7 and it is therefore the combinations don't actually matter.

Hi OmniPrep, this is a good lesson that sometimes gets overlooked. Questions will often give you just enough information to solve X+Y (for example in difference of squares and such) but not for X and Y individually. Recognizing what the question is asking you is the difference between a correct D response and an incorrect E that you were sure was right when you selected it. As always, precision in wording is key. I recommend rereading the question before selecting an answer choice and clicking next, but some people feel they don't have the time to do that type of double check. Just remember that it can easily save you 1-2 traps on the exam, and that can be a big swing in the final score. What's the value of spending 2 minutes to get a question wrong when you can spend 2.2 minutes to get it right.

Hope this helps!
-Ron
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Re: If x and y are integers, what is the value of x + y?  [#permalink]

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06 Dec 2012, 04:01
If x and y are integers, what is the value of x + y?

(1) 3<(x+y)/2<4 --> multiply by 2; 6<x+y<8. Now, since both x and y are integers, then x+y=integer=7. Sufficient.

(2) 2<x<y<5 --> x=3 and y=4 --> x+y=7. Sufficient.

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Re: If x and y are integers, what is the value of x + y?  [#permalink]

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18 Apr 2013, 11:41
1
1
The key for me after getting the question wrong was to understand the question is not asking for X and Y, but 'X + Y'.

I had at first ousted A due to the possibility of X and Y being combinations like 1+6, 2+5, 3+4. The key was in the wording...they all add up to 7 and it is therefore the combinations don't actually matter.
Intern
Joined: 11 Nov 2014
Posts: 35
Concentration: Marketing, Finance
WE: Programming (Computer Software)
Re: If x and y are integers, what is the value of x + y?  [#permalink]

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06 May 2016, 00:41
x and y are INTEGERS (point to be noted)
x+y = ?
from stat 1
3<(x+y)/2 < 4
multiplying by 2
6 < x+y < 8
only possible integer between 6 and 8 is 7
so x+y = 7
sufficient .

stat 2
2<x<y<5
since x and y are integers
x= 3 and y =4 are the only possible values.
x+y = 7
sufficient .

correct choice - D
Manager
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GPA: 3.65
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Re: If x and y are integers, what is the value of x + y?  [#permalink]

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26 Oct 2018, 22:26
Bunuel wrote:
If x and y are integers, what is the value of x + y?

(1) 3<(x+y)/2<4 --> multiply by 2; 6<x+y<8. Now, since both x and y are integers, then x+y=integer=7. Sufficient.

(2) 2<x<y<5 --> x=3 and y=4 --> x+y=7. Sufficient.

Bunuel, can we safely assume that X and Y have to be a DISTINCT number? X and Y cannot be 3, for instance?

Thanks!
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Joined: 02 Sep 2009
Posts: 50729
Re: If x and y are integers, what is the value of x + y?  [#permalink]

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27 Oct 2018, 01:25
septwibowo wrote:
Bunuel wrote:
If x and y are integers, what is the value of x + y?

(1) 3<(x+y)/2<4 --> multiply by 2; 6<x+y<8. Now, since both x and y are integers, then x+y=integer=7. Sufficient.

(2) 2<x<y<5 --> x=3 and y=4 --> x+y=7. Sufficient.

Bunuel, can we safely assume that X and Y have to be a DISTINCT number? X and Y cannot be 3, for instance?

Thanks!

No we cannot assume that: unless it is explicitly stated otherwise, different variables CAN represent the same number.
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Re: If x and y are integers, what is the value of x + y?  [#permalink]

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27 Oct 2018, 02:28
Bunuel wrote:
No we cannot assume that: unless it is explicitly stated otherwise, different variables CAN represent the same number.

Thanks Bunuel for your prompt response. My bad, I misunderstood the question!
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Re: If x and y are integers, what is the value of x + y? &nbs [#permalink] 27 Oct 2018, 02:28
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