SOLUTION: the product of the first and second of three times consecutive integers is equal to 23 plus the third.Find the integers.

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Question 349006: the product of the first and second of three times consecutive integers is equal to 23 plus the third.Find the integers.
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let the integers be x,x+1,x+2
..
x(x+1)=x+2+23
x^2+x=x+25
x^2+x-x=25
x^2=25
take square root
x= + / - 5
The numbers are 5,6,7
-5,-4,-3