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C. If z-x = 2 and x<y<z and x,y,z are integers. There will be only one possibility => y-x=z-y=1 1 is insuff because we do not know the order of y 2 is insuff because we do not know the differences between (x and y) and (y and z)

the info given to us: x,y,z are integers the question: are x,y,z consecutive? the underlying question: do x,y,z all differ by one?

stmt 1: - rewrite as z=x+2 - we now know that x is 2 larger than z - but still not suff, eliminate D & A

stmt 2: -x<y<z just tell us the relation ship among all three -x is larger than y, could be by only 1, but also by more -not suff, eliminate B

both stmt together: -using z=x+2 and x<y<z -rewrite as x<y<x+2 -you can now infer (since we're dealing with integers) that we now have x<x+1<x+2 -answer is C

Hope this helps, shoot me an email if you have any questions. Good Luck!