SOLUTION: The sum of two whole numbers is 19. The product of the number is 84. What are the two numbers?

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Question 510110: The sum of two whole numbers is 19. The product of the number is 84. What are the two numbers?

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
x + y = 19
so
x = 19-y
.
x*y = 84
so
x = 84/y
.
substitute
.
84/y + y = 19
.
multiply both sides by 'y'
.
84 + y^2 = 19y
.
rearrange
.
y^2 -19y +84 = 0
.
factor
.
(x-12)(x-7) = 0
.
x = 12 or x=7
.
which means the other number is either 7 or 12, respectively.
.
12*7 = 84
12+7 = 19
Correct.
.
Answer: The two numbers are 7 and 12.
.
Done.