After many years, two vulkanians meet again in the canteen of the StarFleet-Academy. Their names are Spok and V'Kreeth.
V'Kreeth: "Peace and a long live. How nice is it to meet you again after such a long time - that must have been around 20 years. How do you do, Spok?"
Spok: "Excellent! And what about you?"
V'Kreeth: "Very well, thank you! Did you know that I have 3 children meanwhile?"
Spok: "Really? How old are they?"
V'Kreeth: "As a good logician it should be no problem for you to get the solution quickly. The product of their ages is 36, and the sum of their ages is identical to the number of the house in which you lived on Vulkan, when we have met for the last time."
Spok: "I still live in this house. But only with these pieces of information I can't get a solution."
V'Kreeth: "Oh yes, you're right. Well, the youngest one looks exactly like me."
Spok: "Ah, now I know how old they are."
Do you know the ages of the children too?

Post your solution with an explanation how to solve it logically