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Problem of the Day #81: Reversing digits June 8, 2011

Posted by Sreenath in : potd , trackback

Suppose that a two digit integer is equal to the sum of its digits times some integer $k$. Let $a$ be the integer formed by reversing the digits of this number, and let $b$ be the sum of its digits. Find an expression for $\frac{a}{b}$ in terms of $k$.

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