SOLUTION: The sum of three consecutive integers is 279 Find the integers. Set up an equation to describe each situation. Don't forget to tell what variable expressions you are using to repre

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of three consecutive integers is 279 Find the integers. Set up an equation to describe each situation. Don't forget to tell what variable expressions you are using to repre      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com
Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 346823: The sum of three consecutive integers is 279 Find the integers. Set up an equation to describe each situation. Don't forget to tell what variable expressions you are using to represent each of the unkwons. Then solve the problem. Please help me out?
Answer by ankor@dixie-net.com(15649) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of three consecutive integers is 279 Find the integers.
Set up an equation to describe each situation.
:
The three consecutive integers: x, (x+1), (x+2)
:
Their sum is 279, therefore:
x + (x+1) + (x+2) = 279
Combine like terms
x + x + x + 1 + 2 = 279
3x + 3 = 279
3x = 279 - 3
3x = 276
x = 276%2F3
x = 92
:
The integers, 92,93,94, add them up and see if this is right