AMC 12 2003a Problem 5

The sum of the two 5-digit numbers $AMC10$ and $AMC12$ is $123422$. What is $A+M+C$?

$\mathrm{(A) \ } 10 \mathrm{(B) \ } 11 \mathrm{(C) \ } 12 \mathrm{(D) \ } 13 \mathrm{(E) \ } 14$