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My favorite numbers II (Posted on 2009-12-21) Difficulty: 3 of 5
Determine all possible sextuplets (A, B, C, D, E, F) of positive integers, with A ≤ B ≤ C, and, D ≤ E ≤ F and, A ≤ D, that satisfy both the equations: A+B+C = D*E*F and, A*B*C = D+E+F.

Prove that these are the only sextuplets that exist.

No Solution Yet Submitted by K Sengupta    
Rating: 4.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
The start of a proof...Steve Herman2009-12-23 10:20:36
An attempt at a proof...Dej Mar2009-12-22 19:28:57
Same result with a listing.brianjn2009-12-21 19:32:54
Six Sexy-tuplet SolutionsJim Keneipp2009-12-21 16:56:53
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