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The sum of two numbers is 24. Their difference is 15. What are the two numbers?

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x+y = 24x-y = 15 Thus, x=15+y Substitute for x in first equation becomes 15 +y + y = 24. 2y=9; therefore y=4.5, and since x = 24-y, x= 19.5 Check answer: 4.5 + 19.5 = 24; 19.5-4.5 = 15

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