damilolaamele wrote:AB + CD = AAA, where AB and CD are two-digit numbers and AAA is a three digit number; A, B, C, and D are distinct positive integers. In the addition problem above, what is the value of C?
(A) 1
(B) 3
(C) 7
(D) 9
(E) Cannot be determined
Since 99 + 99 < 200, AB + CD < 200.
Thus, AAA = 111.
Since AB = 1B, AB≤19.
Since 111 = 19 + 92, CD≥92.
Thus, C=9.
The correct answer is
D.
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