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Suppose that A, B, and C are non-zero distinct digits less than 6, and suppose we have ${AB_6}+{C_6}={C}0_6$ and ${AB_6}+{BA_6}={CC_6}$. Find the three-digit number ABC. (Interpret $AB_6$ as a base-6 number with digits A and B, not as A times B. The other expressions should be interpreted in this way as well).

 
MathCuber  Oct 13, 2018
edited by MathCuber  Oct 13, 2018
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See the answer here:  https://web2.0calc.com/questions/help-please_77693

 
Guest Oct 13, 2018

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