MathDB
2020 Individual #23

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May 1, 2022
2020 Individual

Problem Statement

There exists a positive integer bb such that the base-1010 fraction 5948\tfrac{59}{48} can be expressed as 1.14‾b1.\overline{14}_b (or 1.141414…b1.141414\ldots_b), a value in base bb. Find bb.
<spanclass=′latex−bold′>(A)</span>5<spanclass=′latex−bold′>(B)</span>6<spanclass=′latex−bold′>(C)</span>7<spanclass=′latex−bold′>(D)</span>8<spanclass=′latex−bold′>(E)</span>9<span class='latex-bold'>(A) </span>5\qquad<span class='latex-bold'>(B) </span>6\qquad<span class='latex-bold'>(C) </span>7\qquad<span class='latex-bold'>(D) </span>8\qquad<span class='latex-bold'>(E) </span>9
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