Question

In the expression below, each letter represents a one-digit number. Where the same letter appears, it represents the same number in each case. Each distinct letter represents a different number. In order to make the equation true, what number must replace C?
AAA plus AAB plus ABC equals 2012

(A) 1 (B) 3 (C) 5 (D) 7 (E) 9
Please include the answer plus an explanation that makes sense so I can do this in other problems. In addition, I am in the sixth grade so I might not know some other advance concepts

Answer 1

to get the 20 in 2012 we have 3A + x = 20 so A must be 6 and x = 2

Answer 2

so 6 + B + C = 22 or 12

try 22:

let B = 7 then C = 9

check:

666
667
679
----
2012


thats it

C = 9