SOLUTION: The sum of three consecutive odd integers is 189. What are the integers?

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: The sum of three consecutive odd integers is 189. What are the integers?       Log On


   

Question 722049: The sum of three consecutive odd integers is 189. What are the integers?
Answer by lenny460(1073) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of three consecutive odd integers is 189. What are the integers?

Let the three consecutive odd integers be:
n + 1, n + 3 and n + 5
Therefore:
n + 1 + n + 3 + n + 5 = 189
3n + 9 = 189
3n = 180
n = 60
n + 1 = 61
n + 3 = 63 and
n + 5 = 65

Answer:
The three consecutive odd integers are:
61, 63 and 65




Lennox Obuong
Algebra Tutor