1964 AHSME Problems/Problem 3

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We can replace the letters with any numbers that satisfy this condition. It must be true for any numbers we use. Let $x$ = $5$ $y$ = $2$ $u$ = $2$ and $v$ = $1$. Plus in you numbers and get $13$ ÷ $2$ $=$ $6$ remainder $1$. Since $v$ = $1$, our answer is $E$.

Solution by superagh