Buying Horses and Cows

A farmer spends £752 in buying horses and cows; if each horse costs £37 and each cow £23, how many of each does he buy?

~10 minAnswer checked instantlyDiophantine equationsLinear equations

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. X. Miscellaneous Equations, Examples X.d, No. 13

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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).