Can You Crack It?

Professor Age Puzzle

You overhear a conversation between a professor and his teaching assistant. They are talking about a course they are running with just three students.

• Professor: The product of the ages of the students in our class is 2450 and the sum of their ages is twice your age. Can you tell me how old they are?
• Assistant: (After thinking for a little while) No.
• Professor: I'll let you in on a secret. I am older than all of them, and now you can answer the question.
• Assistant: (Even though he does not know how old the professor is, he thinks for a bit, smiles, and says) Yes I can.

Can you guess professor age?

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