perplexus.info :: Just Math : Sum (Pair Product)

Sum (Pair Product) - Sum = 21 (Posted on 2010-06-07)

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

Submitted by K Sengupta

Rating: 3.5000 (2 votes)

Solution: (Hide)

(a,b,c) = (1,1,22), (1,2,11), (2,2,7), and (2,3,5).
For an explanation, refer to the analytical solution submitted by Steve Herman in this location.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re: Analytical solution (spoiler)	Dej Mar	2010-06-08 09:30:04
Analytical solution (spoiler)	Steve Herman	2010-06-07 20:35:34
overkill solution	Charlie	2010-06-07 13:19:11
spoiler(spread sheet)	Ady TZIDON	2010-06-07 11:49:37

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