SOLUTION: Is it possible to have the following multiplication table? Give reasons A A x B B = C C C

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Question 877458: Is it possible to have the following multiplication table? Give reasons
A A x B B = C C C
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!
A A X B B = C C C

(10A+A)(10B+B) = 100C+10C+C
    (11A)(11B) = 111C
         121AB = 111C
           AB%2FC = 111%2F121 
            

121 and 111 have no common factors other than 1. So
For this to be an equality, the least AB and C could be is 
AB=111 and C=121. No digit C can be 121, since a digit 
is no larger than 9.  So it's not possible

Edwin