SOLUTION: the sum of three consecutive integers is -417

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Question 673802: the sum of three consecutive integers is -417
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

let x,x%2B1, and x%2B2 be three consecutive integers
the sum of three consecutive integers is -417; so,
x%2B%28x%2B1%29%2B%28x%2B2%29=-417..solve for x
x%2Bx%2B1%2Bx%2B2=-417
3x%2B3=-417
3x=-417-3
3x=-420
x=-420%2F3

highlight%28x=-140%29.....first one

x%2B1...->...-140%2B1..->...highlight%28-139%29...second one
and
x%2B2...->...-140%2B2..->...highlight%28-138%29...third one