One morning after church, the vicar asked the bishop, "How old are those three worshippers?"

"Well," replied the bishop, "the product of their ages is \(2450\) and the sum is twice your age."

"I'm afraid I still don't know," said the vicar.

"Ah, I am older than each of them! You should be able to figure out their ages now," cried the bishop.

Sadly, the vicar was still at a loss. How old is the bishop?

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