A quiz question in mathematics and logic.



A vicar was holding a service in a small country church. Present were three congregation and a verger. After the congregation had left, the vicar said to the verger "Did you know that the product of the ages of the congregation was 2450 and the sum of their ages was twice your own age?" Then he asked "Can you tell me how old they are?" The verger, who was a good mathematician, thought for a while and replied "No, I can't".
The vicar then added "Well I was the oldest person in the church, now you can do it", to which the verger agreed and gave the answer.

Question
How old was the vicar ?

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