2004 AMC 8 Problem 9

The average of the five numbers in a list is 54. The average of the first two numbers is 48. What is the average of the last three numbers?

\textbf{(A)}\ 55\qquad\textbf{(B)}\ 56\qquad\textbf{(C)}\ 57\qquad\textbf{(D)}\ 58\qquad\textbf{(E)}\ 59

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