SOLUTION: Find two numbers whose sum is 54 and whose product is 665.

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Question 571031: Find two numbers whose sum is 54 and whose product is 665.
Answer by nyc_function(2741) About Me  (Show Source):
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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.