7 + 3
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2 composite numbers whose prime factorization have a sum of 10 are 30 (2+3+5=10) and 21 (3+7=10).
The prime numbers 3 an 7 are both odd and sum to 10.
2+3+5
For a 2-digit prime number (which are all odd) to be the sum of two prime numbers, one of the prime numbers will have to be 2. That means the difference between the sum and the other addend will have to be 2. Prime numbers that differ by 2 are called twin primes. There are six pairs of 2-digit twin primes. Your numbers are 13, 19, 31, 43, 61 and 73.
They are: 2+3+5 = 10