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For how many ordered pairs (A,B) where A and B are positive integers is AAA base 7  + BBB base 7 = 666 base 7?

 May 21, 2019
edited by Guest  May 21, 2019
 #1
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\((49+7+1)(A+B)= (49+7+1)6\\~\\ A+B=6,~A,B \in \{1,\dots, 6\}\\~\\ (A,B) = (1,5),(2,4),(3,3),(4,2),(5,1)\)

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 May 22, 2019

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