Conversation with priest-Rejoinder

The organist could find the alternatives available for the values of ages where the product works out as 2450.As the sum of the ages was to be twice his own age and as he was unable to give the answer in the first instance,we can conclude his age as 32 and there were  2 alternatives available as (49,10,5) and (50,7,7) After the priest mentioned that he was the oldest,the organist could give answer.The logic works out as follows-If 'p' is the age of the priest and if p>50,he could not give the answer.If p<50,he could not be the oldest.So the organist concludes that p=50 and accordingly the ages of the visitors were 49, 10 and 5.