Is it possible?

Algebra Level 3

Given that a + b + c = a b c , for some a , b , c ∈ N a+b+c=abc, \text{for some } a,b,c \in \mathbb{N} . What is the sum of all possible values of 100 a + 10 b + c 100a+10b+c ?


The answer is 1332.

敬全 钟 by 敬全 钟 , 22, Malaysia

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1 solution

The only possible solutions are permuatations of 1, 2, 3.

For a proof: see http://math.stackexchange.com/questions/613105/all-solutions-of-abc-abc-in-natural-numbers

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^doesn't work

Omkar Kulkarni - 6 years, 5 months ago

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