SOLUTION: The sum of two numbers is 20. Their product is 36. If the smaller number is represented by�x, which of the following represents the larger number?

Question 980015: The sum of two numbers is 20. Their product is 36. If the smaller number is represented by�x, which of the following represents the larger number?

Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
x + y = 20
xy = 36
......
Using xy = 36
y = 36/x
Substitute in
x + y = 20
x + 36/x = 20
Multiply through by x
x^2 + 36 = 20x
Rearrange into ax^2 + bx + c = 0 form
x^2 - 20x + 36 = 0
Factorise
(x - 2)(x - 18)= 0
x - 2 = 0
x = 2
or
x - 18 = 0
x = 18
Hope this helps:-)
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