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Algebra

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Moderate

Prime Divisors and Whole Numbers

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Suppose there are three whole numbers, $A, B$ and $C$ with $A < B < C$. For these three numbers, $\cfrac{A}{B}, \cfrac{A}{C}$ and $\cfrac{C}{B}$ are also whole numbers.

If $C = 29$, what are the values of $A$ and $B$?