In \triangle A B C with a right angle at C, point D lies in the interior of \overline{A B} and point E lies in the interior of \overline{B C} so that A C=C D, D E=E B, and the ratio A C: D E=4: 3. What is the ratio A D: D B ?

**Answer Choices**

A. 2: 3

B. 2: \sqrt{5}

C. 1: 1

D. 3: \sqrt{5}

E. 3: 2