SOLUTION: Hello! I'm really having trouble solving the following word problem: "The sum of three consecutive ODD integers is 13 less than four times the middle integer. Find the consecutive

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Hello! I'm really having trouble solving the following word problem: "The sum of three consecutive ODD integers is 13 less than four times the middle integer. Find the consecutive       Log On


   

Question 1121942: Hello! I'm really having trouble solving the following word problem: "The sum of three consecutive ODD integers is 13 less than four times the middle integer. Find the consecutive integers." I've been emailing my teacher back and forth, but I need to get it done for homework. I've also been texting my friends to see if they have it too or if they solved it.
Thanks!
Gabe N
Answer by ikleyn(52835) About Me  (Show Source):
You can put this solution on YOUR website!
.
Let "n" be the middle of the three consecutive odd integer numbers. 


Then the numbers are  (n-2), n and (n+2), and their sum is 

    (n-2) + n + (n+2) = 3n.


Then the condition says that


    3n = 4n - 13.


Simplify and solve it:


    13 = 4n - 3n  ====>  13 = n.


Answer.  The three numbers are  11, 13 and 15.

Solved.