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My favorite numbers VI (Posted on 2010-11-21) Difficulty: 4 of 5
Determine all possible sextuplet(s) (A, B, C, D, E, F), with B < C, E < F and, A < D, that satisfy this system of equations:

A/(B*C) = D - E - F, and:

D/(E*F) = A - B - C

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

No Solution Yet Submitted by K Sengupta    
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  Subject Author Date
possible approachbroll2010-11-23 03:09:48
Solutionre: One Solution (spoiler)Steve Herman2010-11-22 21:37:05
Concured bottemiller2010-11-22 20:31:22
Some ThoughtsOne SolutionSteve Herman2010-11-22 13:40:20
re: Really?K Sengupta2010-11-21 23:09:37
QuestionReally?Steve Herman2010-11-21 20:16:46
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