SOLUTION: my digits are the same. their sum is 3 less than their product. what is the number invictus46@aol.com

Question 247306: my digits are the same. their sum is 3 less than their product.
what is the number
invictus46@aol.com
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
my digits are the same. their sum is 3 less than their product.
what is the number
-----
Equations:
x = y
x+y = xy-3
-------------------
Substitute for "y" and solve for "x":
x + x = x^2-3
x^2-2x-3 = 0
(x-3)(x+1) = 0
x = 3 or x = 1
----------------------
Check the answers.
x=3 ?
3+3 = 3*3-3
6 = 9-3
6 = 6
---------------
x = 1 ?
1+1 = 1*1-3
2 = -2
================
Final Answer: x = 3
===============================
Cheers,
Stan H.
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