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Are integers a and b consecutive?

Expert replies
Source: — Data Sufficiency |

by Brent@GMATPrepNow » Mon Dec 04, 2017 7:20 am
lheiannie07 wrote:Are integers a and b consecutive?

(1) a is a positive integer.
(2) 2a - 2b = 2

Is statement 1 sufficient?

OA B
Target question: Are integers a and b consecutive?

Statement 1: a is a positive integer.
No information about b.
Statement 1 is NOT SUFFICIENT

Statement 2: 2a - 2b = 2
Divide both sides by 2 to get; a - b = 1
In other words, a is 1 GREATER THAN b
Since a and b are both integers, we can be certain that a and b are CONSECUTIVE
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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