Question 212715
    The product of two numbers is 50. If you divide the larger number by the smaller number you get 2. What are the numbers?
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Let x = larger number
and y = smaller number
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Then, from "The product of two numbers is 50." we get equation 1:
xy = 50
and, from "If you divide the larger number by the smaller number you get 2." we get equation 2:
x/y = 2
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Solving equation 1 for y we get:
xy = 50
y = 50/x
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Substitute the above into equation 2 and solve for x:
x/y = 2
x/(50/x) = 2
x^2/50 = 2
x^2 = 100
x = 10 or -10
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Substitute the above into equation 1 and solve for y:
xy = 50
y = 50/x
y = 5 or -5
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Your two integers are:
10 and 5
OR
-10 and -5