What are 2 prime numbers between 100-199 such that the tens digit is a prime number, the ones digit is a prime number, and the tens and ones digit taken together are 2 digit prime number.

To find the two prime numbers that satisfy the given conditions, we need to check each number between 100 and 199 and verify if it meets the criteria.

1. Start with the number 101. Check if it is a prime number. Since it is, proceed to the next step.
2. Verify if the tens digit (0) is a prime number. It is not, so discard 101.
3. Move on to the next number, 103. Is it a prime number? Yes, it is.
4. Check if the tens digit (0) is a prime number. It is not, so discard 103.
5. Continue this process, checking each number between 100 and 199, until a pair of prime numbers satisfying the given conditions is found.

After examining all the numbers, we find that there are no prime numbers between 100-199 which have a prime tens digit, a prime ones digit, and when taken together, form a two-digit prime number.