SOLUTION: Hi, I am having a problem with question. How do I solve this problem? The sum of four consecutive odd integers is 360. What is the fourth number?

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Question 14265: Hi, I am having a problem with question. How do I solve this problem?
The sum of four consecutive odd integers is 360. What is the fourth number?

Answer by Alwayscheerful(414) About Me  (Show Source):
You can put this solution on YOUR website!
For 4 consecutive numbers, you think you need 4 variables, but you are wrong. You only need 1.
N, N+1, N+2, and N=3
For consecutive odd numbers, you need
N, N+2, N+4, and N+6
Then to find the sum of the 4 numbers that add up to 360, just write an equation.
N%2BN%2B2%2BN%2B4%2BN%2B6=360
Add up the N's
4N%2B12=360
Simplify
4N=348
N=87
Since N is the smallest number of the 4, you need one more step.
You want the 4th number, so you just add 6 (as seen above)
Your answer should be 87%2B6 which equals 93