To find the largest possible value of n for which both n and 32 - n are positive prime numbers, we need to check prime numbers less than or equal to 32. Let's go through the numbers:
1. For n = 2, we have 2 and 32 - 2 = 30. However, 30 is not a prime number, so n = 2 does not satisfy the condition.
2. For n = 3, we have 3 and 32 - 3 = 29. Both 3 and 29 are prime numbers, so n = 3 satisfies the condition.
3. For n = 4, we have 4 and 32 - 4 = 28. However, 28 is not a prime number, so n = 4 does not satisfy the condition.
We can continue this process, but we can see that the largest possible value of n that satisfies the condition is n = 3.
