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If \(a, b,\) and \(c\) are non-zero distinct digits in base 6 such that \(\overline{ABC}_6 + \overline{BCA}_6+ \overline{CAB}_6 = \overline{AAA0}_6\), find  in base 6.

 Nov 28, 2022
 #1
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B = 1 and C = 3, so B + C = 4.

 Nov 28, 2022
 #2
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A==2,  B==3,  C==1

 

231 + 312 + 123 ==1110 in base 6

 Nov 28, 2022

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