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# Are integers a and b consecutive?

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Math Expert
Joined: 02 Sep 2009
Posts: 61211
Are integers a and b consecutive?  [#permalink]

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01 Dec 2016, 01:02
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87% (00:47) correct 13% (00:48) wrong based on 108 sessions

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Are integers a and b consecutive?

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

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Current Student
Joined: 29 Feb 2016
Posts: 113
Location: India
GMAT 1: 700 Q49 V35
GPA: 3
Re: Are integers a and b consecutive?  [#permalink]

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01 Dec 2016, 01:14
Bunuel wrote:
Are integers a and b consecutive?

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

IMO : B

Stmt 1 : a is +ve, no information about b
not sufficient

Stmt 2 : 2(a-b) = 2

a-b = 1
a =b+1
so a and b are consecutive . Sufficient
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Joined: 13 Dec 2015
Posts: 16
Re: Are integers a and b consecutive?  [#permalink]

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03 Dec 2016, 06:02
Bunuel wrote:
Are integers a and b consecutive?

(1) a is a positive integer.
a is greater than 0. Doesn't tell anything about b
(2) 2a – 2b = 2

2a - 2b = 2
Divide equation by 2, we get,

a-b = 1

Difference between a and b is 1. Hence a and b are consecutive integers

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Joined: 11 Sep 2015
Posts: 4318
Re: Are integers a and b consecutive?  [#permalink]

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08 May 2018, 10:17
Top Contributor
Bunuel wrote:
Are integers a and b consecutive?

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

Target question: Are integers a and b consecutive?

Statement 1: a is a positive integer.
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

Cheers,
Brent
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Re: Are integers a and b consecutive?   [#permalink] 08 May 2018, 10:17
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