AMC 10 2008b Problem 9

A quadratic equation $ax^2 - 2ax + b = 0$ has two real solutions. What is the average of these two solutions? $\mathrm{(A)}\ 1 \mathrm{(B)}\ 2 \mathrm{(C)}\ \frac ba \mathrm{(D)}\ \frac{2b}a \mathrm{(E)}\ \sqrt{2b-a}$