MathDB

In the addition problem, each digit has been replaced by a letter. If different letters represent different digits then

C=

[asy] unitsize(18); draw((-1,0)--(3,0)); draw((-3/4,1/2)--(-1/4,1/2)); draw((-1/2,1/4)--(-1/2,3/4)); label("

A

",(0.5,2.1),N); label("

B

",(1.5,2.1),N); label("

C

",(2.5,2.1),N); label("

A

",(1.5,1.1),N); label("

B

",(2.5,1.1),N); label("

A

",(2.5,0.1),N); label("

3

",(0.5,-.1),S); label("

0

",(1.5,-.1),S); label("

0

",(2.5,-.1),S); [/asy]

\text{(A)}\ 1 \qquad \text{(B)}\ 3 \qquad \text{(C)}\ 5 \qquad \text{(D)}\ 7 \qquad \text{(E)}\ 9

Problem Statement