SOLUTION: Pls. help me solve this and give its direction on how to answer it, The sum of five consecutive odd integers is 159. Find the integers.

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Question 946455: Pls. help me solve this and give its direction on how to answer it,
The sum of five consecutive odd integers is 159. Find the integers.

Found 2 solutions by Fombitz, MathLover1:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
There is a issue with your problem setup.
Multiplying 5 by any number should give you a multiple of 5.
However 159 is not a multiple of 5.
Here's how you would set the problem up and you'll see what happens.
%28N-4%29%2B%28N-2%29%2B%28N%29%2B%28N%2B2%29%2B%28N%2B4%29=159
5N=159
Since 159 is not a multiple of 5, there is no integer solution.
Please repost if you need.

Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

If we start with an odd number and each number in the sequence is 2 more than the previous number then we will get consecutive odd integers.
Let our five consecutive odd integers be


x
x%2B2
x%2B4
x%2B6
x%2B8
if their sum is 159, we have:

x%2Bx%2B2%2Bx%2B4%2Bx%2B6%2Bx%2B8=159
5x%2B20=159
5x=159-20
5x=139.........here is a problem;139 is not a multiple of 5 which means there is no integer solution