SOLUTION: The quotient of 2 positive integers is 5/2 and the product of the two values is 160. What is the largest of the two values?

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Question 949722: The quotient of 2 positive integers is 5/2 and the product of the two values is 160. What is the largest of the two values?
Answer by Alan3354(69443) About Me  (Show Source):
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The quotient of 2 positive integers is 5/2 and the product of the two values is 160. What is the largest of the two values?
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x/y = 5/2
x*y = 160
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x/y = 5/2 --> 2x = 5y --> y = 2x/5
Sub for y in the 2nd equation
x*y = 160
x*(2x/5) = 160
2x%5E2+=+800
x^2 = 400
x = 20
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y = 8