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To find two numbers that add to 25 and multiply to 84, we need to solve a system of equations. Let's call the two numbers x and y. We have the equations x + y = 25 and xy = 84. By substituting y = 25 - x into the second equation, we get x(25 - x) = 84. This simplifies to x^2 - 25x + 84 = 0. Factoring this quadratic equation gives us x = 21 and x = 4. Therefore, the two numbers are 21 and 4.
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