The sum of two positive numbers is 36 and their product is 180. The positive difference between them is:
24
Let the numbers be x and y, with \(x+y=36\) and \(xy=180\).
Their difference satisfies \((x-y)^2 = (x+y)^2 - 4xy = 36^2 - 4\times180 = 1296-720=576\).
So \(x-y = \sqrt{576} = 24\).
Hence, the positive difference between the numbers is 24.
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