SOLUTION: two positive integers have a sum of 20 and a product of 91. what is the smaller number?

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Question 33266: two positive integers have a sum of 20 and a product of 91. what is the smaller number?
Answer by sarah_adam(201) About Me  (Show Source):
You can put this solution on YOUR website!
Let the two positive integers be x and y
given:
x+y = 20 which implies y = 20 - x
x*y = 91
x(20-x)=91
20x - x%5E2= 91
x%5E2-20x +91 = 0
x%5E2 - 13x - 7x +91 = 0
x(x-3)-7(x-13) = 0
(x-7)(x-13)=0
(x-7) = 0 or (x-13) = 0
x = 7 or x = 13
y = 13 or y = 7
the smaller numbe is 7