2010 Cayley Problem 17

In the diagram, the number line is marked at consecutive integers, but the numbers themselves are not shown. The four larger dots represent two numbers that are multiples of 3 and two numbers that are multiples of 5. Which point represents a number which is a multiple of 15?

\textbf{(A)} A \textbf{(B)} B \textbf{(C)} C \textbf{(D)} D \textbf{(E)} E

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 Cayley contests here.