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Suppose each of the nine digits \({1, 2, 3, ... , 9}\) is used exactly once as a digit in either the four-digit positive integer \(a\) or the five-digit positive integer \(b\). What is the smallest possible value of \(a\) if \(1/2 = a/b\)?

 Dec 27, 2021
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The smallest possible value of a is 7269, as in 7269/14538 = 1/2.

 Dec 27, 2021

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