SOLUTION: The sum of three consecutive even integers is 126. WHAT IS THE LARGEST OF THE THREE?

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: The sum of three consecutive even integers is 126. WHAT IS THE LARGEST OF THE THREE?       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 3387: The sum of three consecutive even integers is 126. WHAT IS THE LARGEST OF THE THREE?
Answer by drglass(89) About Me  (Show Source):
You can put this solution on YOUR website!
To solve this problem, start with the smallest and call it n. The next three numbers are n+1 and n+2, so the sum of these numbers is:

n +(n+1) + (n+2) = 126.

This equation reduces to:

3n+3 = 126 subtracting 3 from either side makes it

3n = 123 and dividing either side by 3 means

n = 41

The smallest is 41 so the largest is 43