Multiplying Mystery Numbers

Logic Level 1

$\large{\begin{array}{cccccc} && & & A & B&5 \\ \times && & & & &5\\ \hline & & & & D & B&5\\ \hline \end{array}}$

Let $A,B$ and $D$ be distinct digits that satisfy the cryptogram above.

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

Clarification: Both $A$ and $D$ are a leading digit, so neither can be zero.