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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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Some Thoughts One Solution | Comment 3 of 6 |
Just trying out some numbers, and I get

(4,1,2,8,2,4)

 4/(1*2) = 8-2-4
 8/(2*4) = 4-1-2

I'm definitely not claiming this is a full solution.  Not yet.

  Posted by Steve Herman on 2010-11-22 13:40:20
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