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The sum of two numbers is 56. Their product is 108. Find the larger number?

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Lesson: Word problems involving quadratic and rational equations

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Mibo

Answer:

Step-by-step explanation:

The two numbers are 54 and 2

Their sum = 54 + 2 = 56

Their product = 54 x 2 = 108

Answer: the larger number is 54

Step-by-step explanation:

x + y = 56

xy = 108

x = 56 - y

substitute the x value in equation

(56 -y) y = 108

56y - y^2 = 108

y^2 - 56y + 108 = 0

=(y - 2)(y - 54)