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Suppose that A , B,  and C are non-zero distinct digits less than 6, and suppose we have AB_6 + C_6 = C0_6.  Find the smallest possible value of  A + B + C.

 Oct 20, 2020
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A = 1,  B = 4,  C = 2 All in base 6

 

So that: AB_6  +  C_6 =C0_6 =14_6  +  2_6 = 20_6

 

A + B + C = 1 + 4 + 2 =11_6

 Oct 20, 2020

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