There are 29 whole numbers between 60 and 90.
To determine the number of whole numbers between 60 and 90, we need to exclude 60 and 90 themselves. Therefore, we consider the numbers 61, 62, 63, ..., 89.
The number of integers from a to b inclusive is b - a + 1.
The number of integers from 61 to 89 inclusive is 89 - 61 + 1 = 28 + 1 = 29.
Therefore, there are 29 whole numbers between 60 and 90.