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My favorite numbers III (Posted on 2010-03-04) Difficulty: 4 of 5
Determine all possible octuplets (A, B, C, D, E, F, G, H) of positive integers, with A ≤ B ≤ C ≤ D, and, E ≤ F ≤ G ≤ H and, A ≤ E, that satisfy both the equations: A+B+C+D = E*F*G*H and, A*B*C*D = E+F+G+H.

Prove that these are the only octuplets that exist.

No Solution Yet Submitted by K Sengupta    
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Comments: ( You must be logged in to post comments.)
  Subject Author Date
solution without proofDej Mar2010-03-04 21:51:56
re: Mutually inclusiveed bottemiller2010-03-04 20:32:51
Mutually inclusivebrianjn2010-03-04 20:09:57
re: As simple as possible, but no simpler...ed bottemiller2010-03-04 17:51:18
As simple as possible, but no simpler...ed bottemiller2010-03-04 17:43:30
Some ThoughtsNo SubjectAdy TZIDON2010-03-04 11:57:22
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