SOLUTION: Consecutive integers are integers that follow each other in order (for example 5, 6, and 7). The sum of three consecutive integers is 417. Let n be the first one. Write an equati

Algebra ->  Inequalities -> SOLUTION: Consecutive integers are integers that follow each other in order (for example 5, 6, and 7). The sum of three consecutive integers is 417. Let n be the first one. Write an equati      Log On


   

Question 387988: Consecutive integers are integers that follow each other in order (for
example 5, 6, and 7). The sum of three consecutive integers is 417.
Let n be the first one. Write an equation that will determine the three integers.
Kris, thank you!
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi,         

Let x, (x+1) and (x+2) represent the three consecutive integers

question states***

  x  + (x+1) + (x+2)= 417  the equation that will determine the three integers



Solving for x

 3x + 3 = 417

    3x = 414

     x = 138, the first of the three consecutive integers

the three consecutive integers are 138, 139 and 140 



CHECKING our Answer

  138 +  139 + 140 = 417