AB
+BA
-----
AAC
In the correctly worked addition problem shown, where
the sum of the two-digit positive integers AB and BA is
the three-digit integer AAC, and A, B, and C are different digits, what is the units digit of the
integer AAC?
A. 9
B. 6
C. 3
D. 2
E. 0
set 25 q 37
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A + B = C + 10K
A + B + K = AA
C + 10K + K = AA
C + 11K = AA
C has to be 0 since AA from 11 to 99 is divisible by 11.
A + B + K = AA
C + 10K + K = AA
C + 11K = AA
C has to be 0 since AA from 11 to 99 is divisible by 11.