#1791 · Number Theory · Diophantine equations

Six Solutions Condition

Find the greatest value of $c$ in order that the equation $7 x + 9 y = c$ may have exactly six solutions in positive integers.

~10 minAnswer checked instantlyDiophantine equationsInequalities

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXVI. Indeterminate Equations of the First Degree, Examples XXVI, No. 21

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