Number TheoryChallengeDiophantine Equations ShareDiophantine Equations · Challenge problemHow many ordered triples of positive integers (a,b,c)(a, b, c)(a,b,c) satisfy abc=2(a+b+c)abc = 2(a + b + c)abc=2(a+b+c)? (Order matters.)Check Show answer Walk through it step by step Practice more like this Review this concept