I have below problem, just tell me can you solve it, without say anything about the answer

Each of logicians A, B and C wears a hat with a positive integer on it. The number on one hat is the sum of the numbers on the other two. The logicians see the numbers on all hats except their own. The logicians are error-free in their reasoning and have all the information given so far. They make statements as follows. A: "I don't know my number." B: "I don't know my number." C: "My number is 35." What numbers are on A and B?