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Which Is The Best Nag?

A gentleman has two horses of considerable value, and a saddle worth 50; now, if the saddle is put on the back of the first horse, it will make his value double that of the second; but if it is put on the back of the second, it will make his value triple that of the first: what is the value of each horse?

Solution:

Source: Samuel Webber's Mathematics Compiled from the Best Authors, 1808, p. 193