A two even digit number that is the sum of prime numbers between 20 and 30?

well, the primes are 23 and 29

Now 23+29=52, not both digits are even.

Hmmm. Did you mean two-digit even number?

maybe there is something wrong in the question , tnx it helps :)

To find a two-digit number that is the sum of prime numbers between 20 and 30, we need to determine the prime numbers in that range and check if any pair of them adds up to a two-digit number.

First, let's identify the prime numbers between 20 and 30:
- 20 is not prime since it is divisible by 2 and 5.
- 21 is not prime since it is divisible by 3 and 7.
- 22 is not prime since it is divisible by 2 and 11.
- 23 is a prime number.
- 24 is not prime since it is divisible by 2, 3, 4, 6, 8, and 12.
- 25 is not prime since it is divisible by 5.
- 26 is not prime since it is divisible by 2 and 13.
- 27 is not prime since it is divisible by 3 and 9.
- 28 is not prime since it is divisible by 2, 4, 7, and 14.
- 29 is a prime number.
- 30 is not prime since it is divisible by 2, 3, 5, 6, 10, 15, and 30.

The prime numbers between 20 and 30 are 23 and 29.

Now, let's check if there is any pair that adds up to a two-digit number:
- 23 + 29 = 52
- 29 + 23 = 52

So, 52 is the only two-digit number that is the sum of the prime numbers between 20 and 30.