SOLUTION: The product of two numbers is 450. The smaller number is seven less than the larger number. What are the numbers?

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Question 786071: The product of two numbers is 450. The smaller number is seven less than the larger number. What are the numbers?
Found 2 solutions by Cromlix, Alan3354:
Answer by Cromlix(4381) About Me  (Show Source):
You can put this solution on YOUR website!
Large number x
Small number = x - 7
x(x - 7) = 450
x^2 - 7x = 450
x^2 - 7x - 450 = 0
(x - 25)(x + 18) = 0
x = 25 Large number
x = 18 Small number
Hope this helps.
:-)

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The product of two numbers is 450. The smaller number is seven less than the larger number. What are the numbers?
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Find a pair of factors of 450 that differ by 7.
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You can go around the barn, make it a quadratic, then factor it to solve it.
To factor the quadratic, you have to do Step 1.