There were two intellects sitting opposite to each other in a train. One of them said to the other "I have three children and the product of their ages is the maximum runs one can score in an over(no disallowed deliveries) and sum of their ages is my seat number, Can you tell me age of my three children? "
Second Intellect said : No i can't.
Then the first intellect said : Ok i ll give you another clue, My eldest son is blind.
Second intellect then tells him the answers.
Now can you tell me ages of first intellects children.
PS: provide the answers as an integer and in decreasing order.
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Their product is 36. There are a no. of possible combination. One can write them down. When it was stated that their sum is equal to his seat no., the other man should have known their ages unless there were 2 possible combination of ages with the same sum ( equal to the seat no.). The only 2 such combinations are (9,2,2) and (6,6,1) . But then it was stated that there is a eldest son. There the ages are (9,2,2).