SOLUTION: I need help with this problem: Two numbers; one is ten times greater than the other; their sum is equal to their product. I have used trial and error and am just not getting

Question 235674: I need help with this problem:
Two numbers; one is ten times greater than the other; their sum is equal to their product.
I have used trial and error and am just not getting it.
Thanks, Cathy
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Two numbers; one is ten times greater than the other; their sum is equal to their product.
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Let one of the numbers be "x".
The other number is "10x".
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Equations:
x + 10x = x(10x)
11x = 10x^2
---
10x^2-11x = 0
x(10x-11) = 0
Positive solution:
10x-11 = 0
x = 11/10 = 1.1 (1st number)
10x = 11 (2nd number)
==============================
Cheers,
Stan H.
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