Well, an easy way to figure this out is divide 360 by 4 to get 90, then subtract 3 from 90 to get 87, then subtract 1 from 90 to get 89, then add 1 to 90 to get 91, then add 3 to 90 to get 93. So, the consecutive odd integers that add up to 360 are: 87, 89, 91, and 93, and to check, 87+89+91+93=360. :)
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There are four consecutive odd integers: 81, 83, 85 and 87.
The average of the four numbers will be equal to 116/4 = 29 Since you are looking for an even number of integers, you cannot have them averaging an odd number.
The answer to that question is 6,7,8,9.
19, 20,21,22
The integers are 81, 83, 85 and 87.