SOLUTION: The sum of four consecutive odd integers is 328. What is the largest of the integers?

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Question 1165504: The sum of four consecutive odd integers is 328. What is the largest of the integers?

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


For a formal algebraic solution, you might do something like this....

x = 1st integer
x+2 = 2nd
x+4 = 3rd
x+6 = 4th

The sum is 328:

x%2Bx%2B2%2Bx%2B4%2Bx%2B6+=+328

Then solve that equation to find x and thus find the solution to the problem.

Or, if formal algebra is not required (and you want to get the answer as fast as possible)....

The average of the four integers is 328/4 = 82; the four integers are the two odd integers either side of 82 and closest to 82 -- 79, 81, 83, and 85.