#1790 · Number Theory · Diophantine equations
Tolling Bells
Three bells commenced to toll at the same time, and tolled at intervals of 23, 29, 34 seconds respectively. The second and third bells tolled 39 and 40 seconds respectively longer than the first; how many times did each bell toll if they all ceased in less than 20 minutes?
H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXVI. Indeterminate Equations of the First Degree, Examples XXVI, No. 20
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Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).