1997 Fermat Problem 17

During 1996, the population of Sudbury decreased by 6\% while the population of Victoria increased by 14\%. At the end of the 1996, the populations of these cities were equal. What was the ratio of the population of Sudbury to the population of Victoria at the beginning of 1996?

\textbf{(A)}\ 47{:}57\quad \textbf{(B)}\ 57{:}47\quad \textbf{(C)}\ 53{:}43\quad \textbf{(D)}\ 53{:}57\quad \textbf{(E)}\ 43{:}47

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