Multiplying Mystery Numbers

Logic Level 1

AB5×5DB5 \large{\begin{array}{cccccc} && & & A & B&5 \\ \times && & & & &5\\ \hline & & & & D & B&5\\ \hline \end{array}}

Let A,BA,B and DD be distinct digits that satisfy the cryptogram above.

Find the minimum value of A+B+D+5A+B+D + 5.

Clarification: Both AA and DD are a leading digit, so neither can be zero.

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