Final answer:
The largest prime number less than 30 that can be written as the sum of two primes is 23.
Step-by-step explanation:
To find the largest prime number less than 30 that can be written as the sum of two primes, we can start by listing all the prime numbers less than 30: 2, 3, 5, 7, 11, 13, 17, 19, 23, and 29. Then, we can check which of these primes can be expressed as the sum of two other primes from the list. By checking each prime number, we find that the largest prime number less than 30 that can be written as the sum of two primes is 23, which can be expressed as 11 + 12.