SOLUTION: The product of two numbers is 50. If you divide the larger number by the smaller number you get 2. What are the numbers?

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?
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
The product of two numbers is 50. If you divide the larger number by the smaller number you get 2. What are the numbers?
.
Let x = larger number
and y = smaller number
.
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
.
Solving equation 1 for y we get:
xy = 50
y = 50/x
.
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
.
Substitute the above into equation 1 and solve for y:
xy = 50
y = 50/x
y = 5 or -5
.
Your two integers are:
10 and 5
OR
-10 and -5

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