Find all triples $(a, b, c)$ of positive integers such that: $$a + b + c = 24$$$$a^2 + b^2 + c^2 = 210$$$$abc = 440$$
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Tags: algebra, system of equations, number theory
Find all triples $(a, b, c)$ of positive integers such that: $$a + b + c = 24$$$$a^2 + b^2 + c^2 = 210$$$$abc = 440$$