There are 45 two-digit numbers divisible by 2.
Here's how to arrive at that answer:
- The smallest two-digit number is 10.
- The largest two-digit number is 99.
- The smallest two-digit number divisible by 2 is 10.
- The largest two-digit number divisible by 2 is 98.
We can form an arithmetic sequence: 10, 12, 14, ..., 98. To find the number of terms in this sequence, we can use the formula:
Number of terms = (Last term - First term) / Common difference + 1
Number of terms = (98 - 10) / 2 + 1
Number of terms = 88 / 2 + 1
Number of terms = 44 + 1
Number of terms = 45
Alternatively, there are 90 two-digit numbers (from 10 to 99). Since even numbers occur every other number, approximately half of the two-digit numbers are divisible by 2. Thus, 90/2 = 45.
