2013 AMC 12B Problem 3

When counting from 3 to 201, 53 is the 51^{\text{st}} number counted. When counting backwards from 201 to 3, 53 is the n^{\text{th}} number counted. What is n?

\textbf{(A)}\ 146 \qquad \textbf{(B)}\ 147 \qquad \textbf{(C)}\ 148 \qquad \textbf{(D)}\ 149 \qquad \textbf{(E)}\ 150

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