Mathematics
youngwebbie
33

The sum of two numbers is 31.The product of the two numbers is 150. What are the two numbers?

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(1) Answers
JunieVereb

The two numbers I will call x and y. x + y = 31 x * y = 150 You then solve for one variable in either equation and substitute it into the other equation. x + y = 31 x = 31 - y Then you plug it in: x * y = 150 (31 - y) * y = 150 -y² + 31y = 150 y² - 31y + 150 = 0            Then factor: (y - 6)(y - 25) = 0 y - 6 = 0        y - 25 = 0 y = 6             y = 25 When you plug y into the original equations, it comes out that the two numbers are 6 and 25. You can check your work because 6+25 = 31 and 6*25 = 150. Hope this helps! :)

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