90
10-20=10
20-30=10
30-40=10
40-50=10
50-60=10
60-70=10
70-80=10
80-90=10
90-99=9
Thus, the answer is actually 89 two-digit numbers between 1 and 100. You do not count 100 itself because it is NOT a two-digit number, it is a three-digit number. On top of that, you begin your counting at 10, since 10 is the FIRST two-digit number in the sequence. Then the answer should be sligtly more clear.
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There are 90 two-digit whole numbers between 1 and 100.
11 times
18
19 of them
1