Lemma
MediumDiophantine equations
#1789 · Number Theory · Diophantine equations

Coincident Rod Divisions

Two rods of equal length are divided into 250 and 243 equal parts respectively; if their ends be coincident, find the divisions which are the nearest together.

~15 minAnswer checked instantlyDiophantine equationsLinear congruence

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXVI. Indeterminate Equations of the First Degree, Examples XXVI, No. 19

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