SOLUTION: The sum of two number 32 and their product is 240

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Question 1193393: The sum of two number 32 and their product is 240
Found 3 solutions by ikleyn, Alan3354, greenestamps:
Answer by ikleyn(53763) About Me  (Show Source):
You can put this solution on YOUR website!
.

One number is x; another number is 32-x and an equation to find x is


    x*(32-x) = 240,

or

    x^2 - 32x + 240 = 0.


It is factorable

    (x-20)*(x-12) = 0,


so the roots are 20 and 12.


ANSWER.  The numbers are 20 and 12.

Solved.



Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of two number 32 and their product is 240
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You can find a pair of integers that fit.
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Or, you can make a quadratic, x^2 - 32x + 240 = 0 and then find a pair of integers that fit.
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If there is no integer solution, then the quadratic is necessary.

Answer by greenestamps(13334) About Me  (Show Source):
You can put this solution on YOUR website!


Here is another strategy for solving a problem like this that you won't find in you standard algebra textbooks.

Since the sum of the two numbers is 32, let the two numbers be 16+x and 16-x. Then, since the product is 240,

%2816%2Bx%29%2816-x%29=240
256-x%5E2=240
x%5E2=16
x=4

ANSWER: The two numbers are 16+4 = 20 and 16-4 = 12