We need to find the number of two-digit numbers that are multiples of 5.
Two-digit numbers range from 10 to 99.
The two-digit multiples of 5 are:
To count them, we can use the formula for an arithmetic sequence:
Last term = First term + (n - 1) * common difference
Here, the first term is 10, the last term is 95, and the common difference is 5.
\( 95 = 10 + (n - 1) \times 5 \)
\( 95 - 10 = (n - 1) \times 5 \)
\( 85 = (n - 1) \times 5 \)
\( \frac{85}{5} = n - 1 \)
\( 17 = n - 1 \)
\( n = 17 + 1 \)
\( n = 18 \)
So, there are 18 two-digit numbers that are multiples of 5.
Ответ: 18