**144**

Let the numbers are x and y;

We have:

x + y = 24

xy = 108

The square of the difference is:

(x - y)^2= (x + y)^2 - 4xy = 24^2 - 4*108 = 144

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The sum of two numbers is 24 and the product of the two is 108. What is the square of their difference?

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