SOLUTION: The average (arithmetic mean) of the numbers 12, 28, 16, and x is between 22 and 24, inclusive. What is the least possible value of x?

Question 771775: The average (arithmetic mean) of the numbers 12, 28, 16, and x is between 22 and 24, inclusive. What is the least possible value of x?
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

The average (arithmetic mean) of the numbers , , , and is:

given that the average is between and , inclusive-means; so, we have

......solve for
....multiply by

....subtract

so, since , the least possible value of is

check:
.....plug in
and

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