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ProfessorLet'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.
Oh, dude, you're hitting me with the classic algebra puzzle, huh? So, we're looking for two numbers that multiply to 24 and add up to 14. Let me put my thinking cap on... Ah, got it! The numbers are 10 and 4. They multiply to 24 and add up to 14. Easy peasy!
Well, well, well, aren't we playing detective now? The two numbers you're looking for are 10 and 4. They multiply to 24 and add up to 14. Case closed, Sherlock!
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