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Modified Product = Sum (Posted on 2010-05-24) Difficulty: 3 of 5
Determine all possible quintuplet(s) (A,B,C,D,E) of positive integers, with A ≤ B ≤ C ≤ D ≤ E, that satisfy this equation:

(A-1)*(B-2)*(C-3)*(D-4)*(E-5) = A+B+C+D+E

Prove that these are the only quintuplet(s) that exist.

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
Solutiona solution , speadsheet aidedAdy TZIDON2010-05-24 14:09:34
Solutioncomputer solution + proofCharlie2010-05-24 13:44:42
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