1957 AHSME Problems/Problem 24

Problem

If the square of a number of two digits is decreased by the square of the number formed by reversing the digits, then the result is not always divisible by:

$\textbf{(A)}\ 9 \qquad \textbf{(B)}\ \text{the product of the digits}\qquad \textbf{(C)}\ \text{the sum of the digits}\qquad \textbf{(D)}\ \text{the difference of the digits}\qquad \textbf{(E)}\ 11$

Solution

$\fbox{\textbf{(B) }the product of the digits}$ .

1957 AHSC (Problems • Answer Key • Resources)
Preceded by Problem 23	Followed by Problem 25
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1957 AHSME Problems/Problem 24

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