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Let's denote the two numbers as x and y. We can set up a system of equations based on the given conditions: xy = 24 and x + y = 14. By substituting y = 14 - x into the first equation, we get x(14 - x) = 24. Simplifying, we get a quadratic equation x^2 - 14x + 24 = 0. Factoring this quadratic equation, we find the two numbers to be 2 and 12.
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