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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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Difficulty:   5% (low)

Question Stats: 82% (00:55) correct 18% (01:07) wrong based on 1610 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: 312
Re: If x and y are integers, what is the value of x + y?  [#permalink]

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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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Math Expert V
Joined: 02 Sep 2009
Posts: 65785
Re: If x and y are integers, what is the value of x + y?  [#permalink]

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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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Intern  Joined: 04 Apr 2013
Posts: 30
Re: If x and y are integers, what is the value of x + y?  [#permalink]

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2
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  B
Joined: 11 Nov 2014
Posts: 33
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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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  G
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Concentration: Marketing, Social Entrepreneurship
GPA: 3.65
WE: Marketing (Education)
Re: If x and y are integers, what is the value of x + y?  [#permalink]

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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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Math Expert V
Joined: 02 Sep 2009
Posts: 65785
Re: If x and y are integers, what is the value of x + y?  [#permalink]

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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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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?  [#permalink]

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_________________ Re: If x and y are integers, what is the value of x + y?   [#permalink] 18 May 2020, 18:20

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