Learn Your Alphabet!

Logic Level 2

\[ \begin{array}{ccccc} & &A & B & C&D\\ \times & & & & &9 \\ \hline & & D & C & B &A\\ \hline \end{array} \]

If \(A,B,C\) and \(D\) are distinct digits that satisfy the cryptogram above, find \(A+B+C+D\).

Note: The leading digits cannot be zero.


This problem is a part of my set Numbers in Disguise - Cryptarithms.
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