There are 22 two-digit numbers divisible by 4.
The smallest two-digit number divisible by 4 is 12, and the largest is 96. We can list these numbers as an arithmetic sequence: 12, 16, 20, 24, ..., 96.
We can calculate the number of terms in this sequence using the formula for the nth term of an arithmetic sequence: tn = a + (n - 1)d, where tn is the nth term, a is the first term, n is the number of terms, and d is the common difference.
- tn (last term) = 96
- a (first term) = 12
- d (common difference) = 4
Using the formula:
96 = 12 + (n - 1) * 4
96 = 12 + 4n - 4
96 = 8 + 4n
88 = 4n
n = 22
Therefore, there are 22 two-digit numbers divisible by 4.
