The mean age of three people is 22 and their median age is 20. the range of their ages is 16. how old is each person?

The second person must be 20 years old, since that is the median of the ages.
If the mean is 22 years, then the sum when all three added together is 66.
That means, the youngest and the oldest add up to 46 years old.

Let the oldest be x + 16, then the youngest must be x.
x + 16 + x = 46
2x + 16 = 46
2x = 30
x = 15

Since the youngest person is 15, the oldest must be 31.

Hence, the ages, from youngest to oldest, are: 15, 20, 31