Answer :

The answer explains that there are 10 two-digit positive multiples of nine.

The number of positive multiples of nine that are two-digit numbers is 10.

  1. List out the two-digit multiples of nine: 18, 27, 36, 45, 54, 63, 72, 81, 90,99.
  2. The next multiple of 9 is 108 but it is three digit number. So, 99 is the highest two digit number which are multiples of 9.
  3. Count the total, which is 10 multiples of nine that are two-digit numbers.

Therefore, there are 10 positive two-digit numbers which are multiples of nine.