The following problem was written by Leonhard Euler: Two persons owe conjointly 29 pistoles; they both have

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The following problem was written by Leonhard Euler: "Two persons owe conjointly 29 pistoles; they both have money, but neither of them enough to enable him, singly, to discharge this common debt." The first debtor says therefore to the second, "If you give me \(\frac{2}{3}\) of your money, I can immediately pay the debt." The second answers that he also could discharge the debt, if the other would give him \(\frac{3}{4}\) of his money. Determine how many pistoles each has.

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