This problem can indeed be confusing. The key is to understand the wording of the question.

How many 2-digit positive integers are there such that the product of their two digits is 24?

We are only looking for 2-digit numbers that are positive, so numbers between 10 and 99. We also need that the product of the two digits is 24. A product is the answer to a multiplication problem, so we need to multiply the tens place and the ones place values to get an answer of 24.

I would look at the factors of 24.

1×24 , 2×12, 3×8, 4×6

We can eliminate 1×24 and 2×12 because 12 and 24 are each two digits long, so cannot be one digit of our number.

Therefore, we only have 3×8 and 4×6 as factors.

The numbers can be in any order, so our possible integers that meet our above criteria are: 38, 83, 46, and 64

I hope that this explanation makes sense and helps you out!