posted by Sarah on .
Which of the following CANNOT be the average ( arithmetic mean) of four positive even integers?
( please explain or show work. It will help me understand it better! Thanks)
To give an example, 17 can be thought of as
Since they are not all even, we can adjust by adding 1 to a number, and subtracting 1 from the next, such as:
So work in a similar way for all the given choices until you find one that does not satisfy the conditions that
1. all numbers must be positive (i.e. ≥ 1).
2. all numbers must be even