SOLUTION: How many ordered triples of integers (a, b, c) satisfy |a+b|+c=19 and ab+|c|= 97 ?

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Question 1064996: How many ordered triples of integers (a, b, c) satisfy |a+b|+c=19 and ab+|c|= 97 ?
Answer by ikleyn(52800) About Me  (Show Source):
You can put this solution on YOUR website!
.
To be honest, I do not see any (educational) sense in the formulation of the problem,
as well as do not see any reason to solve it.