If the average (arithmetic mean) of 16, 20 and n is between 18 and 21 inclusive, what is the greatest possible value of n ?

If the average (arithmetic mean) of 16, 20 and n is between 18 and 21 inclusive, what is the greatest possible value of n ? Correct Answer 27

we must take such a value of n for which the average must be in between 18 to 21, inclusive. It means 21 can be the average . We are looking fro greatest value of n. So, we must take 21 as average of this 3 numbers. 16 + 20 + n = 3×21 = > 36 + n = 63 ∴n = 27. 
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