Tom meets a new neighbour, Cheryl, next door to him. During the conversation with Cheryl, Tom asks her: "How many kids do you have". "Three" replied Cheryl. Tom asked "How old are they?"

Cheryl answered:"The product of their ages is 36. The sum of their ages are the same as my house number." After some time Tom replied "I can't figure it out. I don't have enough information".

"My apologies, I forgot to tell you that my youngest child likes strawberry milk" replied Cheryl.

Tom figured out their ages after her answer and Cheryl confirmed that he was right. What are the ages of her children?

The solution:

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