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To find two numbers that multiply to 36 and add up to 13, we can set up a system of equations. Let the two numbers be x and y. We know that xy = 36 and x + y = 13. By factoring 36, we find that the pairs of numbers that multiply to 36 are (1, 36), (2, 18), (3, 12), (4, 9), and (6, 6). Among these pairs, only (4, 9) adds up to 13. Therefore, the two numbers are 4 and 9.
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