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If a and b are positive integers divisible by 6, is 6 the..?

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ichai
 Post subject: If a and b are positive integers divisible by 6, is 6 the..?
 Post Posted: Wed Aug 20, 2008 6:55 am 
(1) a = 2b + 6

(2) a = 3b

(1) SUFFICIENT: We are already told in the question stem that 6 is a divisor of both a and b. This statement tells us that a is exactly 6 more than 2b. If one number is x units away from another number, and x is also a factor of both of those numbers, than x is also the GCF of those two numbers. This always holds true because x is the greatest number separating the two; in order to have a larger GCF, the two numbers would have to be further apart.

Does this explanation hold in this case? X (6) is not the greatest number separating a and b; b+6 is the number separating a and b. So can you assume 6 is still the GCF?
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RonPurewal
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 Post Posted: Tue Sep 09, 2008 7:25 am 
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ManhattanGMAT Staff


Posts: 7146
what's the rest of the question?

thx
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