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# If x and y are integers greater than 1 and x>y, what are the values of

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6639
GMAT 1: 760 Q51 V42
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If x and y are integers greater than 1 and x>y, what are the values of  [#permalink]

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19 Mar 2017, 17:00
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25% (medium)

Question Stats:

64% (00:43) correct 36% (01:03) wrong based on 73 sessions

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If x and y are integers greater than 1 and x>y, what are the values of x and y?

1) x+y=13
2) xy=22

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Re: If x and y are integers greater than 1 and x>y, what are the values of  [#permalink]

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19 Mar 2017, 17:09
If x and y are integers greater than 1 and x>y, what are the values of x and y?

Statement 1) x+y=13

Based on the conditions gives, (x,y) can take multiple combination of values such as (12,1), (11,2), (10,3)..so on.
Hence this statement is not sufficient.

Statement 2) xy=22

(x,y) can be either (11,2) or (2,11). Since we know x>y, hence (x,y) is (11,2)

This statement is sufficient

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Re: If x and y are integers greater than 1 and x>y, what are the values of  [#permalink]

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19 Mar 2017, 17:47
If x and y are integers greater than 1 and x>y, what are the values of x and y?

1) x+y=13

Let y=2 & x=11........then 2+11=13

Let y=3 & x=10........then 3+10=13

Insufficient

2) xy=22

Sufficient

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 6639
GMAT 1: 760 Q51 V42
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Re: If x and y are integers greater than 1 and x>y, what are the values of  [#permalink]

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20 Mar 2017, 02:39
==> In the original condition, there are 2 variables (x,y) and in order to match the number of variables to the number of equations, there must be 2 equations. Since there is 1 for con 1) and 1 for con 2), C is most likely to be the answer. By solving con 1) and con 2), you get x=11 and y=2, hence it is unique and sufficient. The answer is c. However, this is an integer question, one of the key questions, so you apply CMT 4(A).
For con 1), from (x,y)=(11,2),(10,3), it is not unique and not sufficient.
For con 2), you only get (x,y)=(2,11), hence it is unique.

Therefore, the answer is B, not C.
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Re: If x and y are integers greater than 1 and x>y, what are the values of  [#permalink]

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20 Mar 2017, 04:23
MathRevolution wrote:
If x and y are integers greater than 1 and x>y, what are the values of x and y?

1) x+y=13
2) xy=22

In order to find the value, we need:
1# exact value of x and y
2# two equations in x and y

St 1: x+y = 13 many solutions possible
St 2: xy = 22. only one solution possible(x,y) = (11,2)

Option B
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Re: If x and y are integers greater than 1 and x>y, what are the values of  [#permalink]

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26 Jun 2018, 02:42
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: If x and y are integers greater than 1 and x>y, what are the values of &nbs [#permalink] 26 Jun 2018, 02:42
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