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For how many ordered pairs (A,B) where A and B are positive integers is $AAA_7 + BBB_7 = 444_7$?

 May 30, 2021
 #1
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A+B=4 or 7+4=11

But A+B cant be 11  (base 10) because then they will add to a 4 digit base 7 number

 

so they can be 1,3 or 3,1   or  2,2 

 May 30, 2021

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