Lemma
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#1787 · Number Theory · Digits

Digits in different scales

A number of three digits in the septenary scale is represented in the nonary scale by the same three digits in reverse order; if the middle digit in each case is zero, find the value of the number in the denary scale.

~10 minAnswer checked instantlyBase representationDiophantine equations

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XXVI. Indeterminate Equations of the First Degree, Examples XXVI, No. 17

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