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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).

 Dec 27, 2017

Best Answer 

 #1
avatar+27480 
+1

As follows:

 

.

 Dec 28, 2017
 #1
avatar+27480 
+1
Best Answer

As follows:

 

.

Alan Dec 28, 2017

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