Are integers a and b consecutive?

Question

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

SI777 · Answer

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

Dev1212 · Answer

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

Answer is Option B

BrentGMATPrepNow · Answer

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

bumpbot · Answer

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Are integers a and b consecutive?

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