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Sum (Pair Product) - Sum = 21 (Posted on 2010-06-07) Difficulty: 2 of 5
Determine all possible triplet(s) (a, b, c) of positive integers, with a ≤ b ≤ c, that satisfy this equation.

a*b+b*c+c*a - (a+b+c) = 21

No Solution Yet Submitted by K Sengupta    
Rating: 2.0000 (1 votes)

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re: Analytical solution (spoiler) Comment 4 of 4 |
(In reply to Analytical solution (spoiler) by Steve Herman)

Nice. Only a slight typo...

 "The only solutions where a = 2 are (2,2,7) and (2,3,5)."
  Posted by Dej Mar on 2010-06-08 09:30:04

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