Problem

1955 AHSME Problem 37

A three-digit number has, from left to right, the digits h, t, and u, with h>u. When the number with the digits reversed is subtracted from the original number, the units' digit in the difference is 4. The next two digits, from right to left, are:

\textbf{(A)}\ \text{5 and 9}\qquad\textbf{(B)}\ \text{9 and 5}\qquad\textbf{(C)}\ \text{impossible to tell}\qquad\textbf{(D)}\ \text{5 and 4}\qquad\textbf{(E)}\ \text{4 and 5}


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


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