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

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.

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