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