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

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) (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.

RELATED QUESTIONS
Hello. I am having serious trouble on this one. THE SUM OF THREE CONSECUTIVE ODD... (answered by mukku,pwac)

Hello tutor, i need help solving this word problem. Find three consecutive integers... (answered by ewatrrr)

Having trouble with I have a problem with understanding the consecutive integers in word (answered by Alan3354)

I AM HAVING TROUBLE SETTING UP THIS PROBLEM: "FIND THREE CONSECUTIVE ODD INTEGERS SUCH... (answered by rfer)

I need help solving this word problem: Find three consecutive odd integers such that the... (answered by Gogonati)

How do you go about solving this word problem? The product of two consecutive integers... (answered by stanbon)

I need help with the following word problem. the sum of three consecutive odd numbers... (answered by Alan3354,oberobic)

The product of two consecutive odd integers is 2 less than six times their sum. Can you... (answered by oberobic)

I am having trouble solving this problem on my homework. There are 4 consecutive odd... (answered by CubeyThePenguin)