2012 AMC 8 Problem 16

Each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 is used only once to make two five-digit numbers so that they have the largest possible sum. Which of the following could be one of the numbers?

\textbf{(A)}\ 76531\qquad\textbf{(B)}\ 86724\qquad\textbf{(C)}\ 87431\qquad\textbf{(D)}\ 96240\qquad\textbf{(E)}\ 97403

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