Question 571031: Find two numbers whose sum is 54 and whose product is 665.
Answer by nyc_function(2741)   (Show Source):
You can put this solution on YOUR website! We have two equations in two unknowns.
a + b = 54
a*b = 665
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Solving a + b = 54 for a, I get a = 54 - b.
I then plug 54 - b in the equation a*b = 665.
(54 - b)*b = 665
I proceed to solve (54 - b)*b = 665 for b.
Solving for b, I get two answers: b = 19 and b = 35.
To find a, I must replace either original equation with either value of b.
I will use b = 19.
a + b = 54
a + 19 = 54
a = 54 - 19
a = 35.
The numbers are 19 and 35.
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