2011 AMC 10A Problem 4

Let X and Y be the following sums of arithmetic sequences: \begin{aligned} X &= 10 + 12 + 14 + \cdots + 100, \\ Y &= 12 + 14 + 16 + \cdots + 102. \end{aligned} What is the value of Y - X?

\textbf{(A)}\ 92\qquad\textbf{(B)}\ 98\qquad\textbf{(C)}\ 100\qquad\textbf{(D)}\ 102\qquad\textbf{(E)}\ 112

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.