The sum of two positive numbers is 31 and their product is 220. The positive difference between them is:
9
Let the numbers be x and y, with \(x+y=31\) and \(xy=220\).
Their difference satisfies \((x-y)^2=(x+y)^2-4xy=31^2-4\times220=961-880=81\).
\(x-y=\sqrt{81}=9\).
Hence, the positive difference between the numbers is 9.
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