(Solution) - The following problem appears in Liber abaci 1202 or Book -(2025 Original AI-Free Solution)

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Academic Level: Undergrad. (yrs 3-4)

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The following problem appears in Liber abaci (1202), or Book of Calculations, by the Italian mathematician Leonardo Fibonacci (ca. 1170-1240).
If A gets 7 denarii from B, then A's sum is fivefold B's. If B gets 5 denarii from A, then B's sum is sevenfold A's. How much has each?

The following problem appears in Liber abaci (1202), or Book
What does a represent?
b. What does b represent?
c. Explain Equation 1 with words.
d. Explain Equation 2 with words.