82 of 100: The Last Cryptograms

\[ \begin{array} {ccccc} \large & & & \color{green}A & \color{green}A & \color{green}A\\ \large \times & & & & \color{red}B & \color{purple}C \\ \hline \large & \color{green}A & 0 & \color{green}A & 0 & \color{green}A \end{array} \]

\[ \begin{array} {ccc} \large & & \color{green}A & \color{green}A\\ \large + & & \color{purple}C & \color{green}A \\ \hline \large & & \color{red}B & \color{blue}D \end{array} \]

If each letter represents a different nonzero digit, what is \({\color{green}A}?\)

Remember that both the multiplication and addition use the same letters!