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If m and n are consecutive positive integers, how can m-1 and n+1 be consecutive positive integers??? The question leads you to believe so.

Here's the question verbatim:

86. If m and n are consecutive positive integers, is m greater than n? (1) m-1 and n+1 are consecutive positive integers (2) m is an even integer.

Consider the following values: n=1 and m=2, so as the stem says m and n are consecutive integers. Now, m-1=1 and n+1=2 and again m and n are consecutive integers.

Complete solution: If m and n are consecutive positive integers, is m greater than n?

(1) m-1 and n+1 are consecutive positive integers --> m>n, if m were less than n than m-1 (integer less than m) and n+1 (integer more than n) wouldn't be consecutive. Sufficient.

Or look at this in another way: stem says that the distance between m and n is 1. Now, if m<n then the distance between m-1 and n+1 would be 3 and they couldn't be consecutive as (1) states. Thus it must be true that m>n.

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