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

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Source: — Data Sufficiency |
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Re: If x and y are integers, what is the value of x+

by swerve » Wed Jun 30, 2021 4:58 pm
BTGmoderatorDC wrote: ↑
Wed Jun 30, 2021 2:38 pm
 If x and y are integers, what is the value of x+y?

(1) 690 < x < y < 696
(2) 692 < x < y< 695


OA B

Source: GMAT Prep
If x and y are integers, what is the value of x+y?

1) \(690 < x < y < 696\)
\(x\) can be \(691, 693,\) or \(694.\)
\(y\) can be \(692, 693, 694,\) or \(695.\)
Clearly insufficient. \(\Large{\color{red}\chi}\)

2) \(692 < x < y< 695\)
\(x\) can only be \(693\) and \(y\) can only be \(694.\)
Sufficient. \(\Large{\color{green}\checkmark}\)

Therefore, B
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Re: If x and y are integers, what is the value of x+

by Brent@GMATPrepNow » Thu Jul 01, 2021 6:23 am
BTGmoderatorDC wrote: ↑
Wed Jun 30, 2021 2:38 pm
 If x and y are integers, what is the value of x+y?

(1) 690 < x < y < 696
(2) 692 < x < y< 695


OA B

Source: GMAT Prep
Target question: What is the value of x+y?

Statement 1: 690 < x < y < 696
This inequality allows for several different pairs of values for x and y.
Consider these two possible cases:
Case a: x = 691 and y = 692. In this case, the answer to the target question is x + y = 691 + 692 = 1383
Case b: x = 691 and y = 693. In this case, the answer to the target question is x + y = 691 + 693 = 1384
Since we can’t answer the target question with certainty, statement 1 is NOT SUFFICIENT

Statement 2: 692 < x < y< 695
Since x and y are INTEGERS, the only values that satisfy the inequality are x = 693 and y = 694, which means the target question is x + y = 693 + 694 = 1387
Since we can answer the target question with certainty, statement 2 is SUFFICIENT

Answer: B

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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