Let's solve this step by step:
Step 1: Identify all the prime numbers between 10 and 25. Prime numbers are numbers that have only two factors: 1 and the number itself.
The prime numbers between 10 and 25 are 11, 13, 17, 19, and 23.
Step 2: Identify the largest and the second largest prime numbers from the list.
Here, the largest prime number is 23 and the second largest prime number is 19.
Step 3: Calculate the difference between the largest and the second largest prime numbers.
Subtract the second largest prime number from the largest prime number:
23 - 19 = 4
Hence, the difference between the two largest prime numbers between 10 and 25 is 4.