2005 AMC 12A Problem 19

A faulty car odometer proceeds from digit 3 to digit 5, always skipping the digit 4, regardless of position. For example, after traveling one mile the odometer changed from 000039 to 000050. If the odometer now reads 002005, how many miles has the car actually traveled?

\textbf{(A) } 1404 \qquad \textbf{(B) } 1462 \qquad \textbf{(C) } 1604 \qquad \textbf{(D) } 1605 \qquad \textbf{(E) } 1804

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