Two men have a certain amount of money. The first says to the second, "If you give me 5 *denari*, I will have 7 times what you have left." The second says to the first, "If you give me 7 *denari*, I will have 5 times what you have left." How much money does each have?

*Ragionamenti d'algebra* (*Algebraic Reasoning*), R. Canacci, c. 1495

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The answer is: \(\dfrac{167}{17} \approx 9.8235\) and \(\dfrac{121}{17} \approx 7.1176\) *denari*