SOLUTION: The sum of two integers is 45 and their product is 500.What are the two integers?

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Question 397781: The sum of two integers is 45 and their product is 500.What are the two integers?
Answer by sudhanshu_kmr(1152) About Me  (Show Source):
You can put this solution on YOUR website!

Let integers are x and y.
x+y=45
=> x = 45-y

x*y = 500
=> y(45-y) = 500
=> 45y -y^2 = 500
=> y^2 -45y + 500 = 0
=> y^2 -25y -20y + 500 = 0
=> y(y-25) -20(y-25) = 0
=> (y-20)(y-25) = 0
so, y=20 , x =25
or y = 25 , x =20
numbers are 20 and 25.