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Divisible by 27? (Posted on 2014-03-29) Difficulty: 3 of 5
Each of A, B and C is an integer satisfying:

(A-B)(B-C)(C-A) = A+B+C

Does 27 always divide A+B+C?
If so, prove it. If not, provide a counterexample.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
SolutionWhy 27? Solution.Jer2014-03-29 15:27:39
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