2006 Pascal Problem 23

Ben and Anna each have some CDs. If Anna gives six of her CDs to Ben, he would then have twice as many CDs as Anna. If, instead, Anna takes six CDs from Ben, then both would have the same number of the CDs. What is the total number of CDs that Ben and Anna have?

\textbf{(A)}\ 42\quad \textbf{(B)}\ 30\quad \textbf{(C)}\ 72\quad \textbf{(D)}\ 18\quad \textbf{(E)}\ 36

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Pascal contests here.