What are their ages?

Question

A man has 3 sons,An engineer asked their ages,He said"When you multiply the ages of my sons,the result will be 36"Still,the engineer couldn't tell tHeir ages.So the man gave the engineer another clue,"If you add their ages,it will be the same as the number of our apartment,".But even though the enginwer knows the number of the apartment,he still couldnt determine their ages.So the man gave him the last hint,"My eldest son's bedroom is in the second floor."What are their ages?

Answer 1

Trios of factors of 36 are:

{1 1 36} {1 2 18} {1 3 12} {1 4 9} {1 6 6} {2 2 9} {2 3 6} {3 3 4}.

The sums corresponding to these are 38 21 16 14 13 13 12 10.

The only duplicate sum is 13. The engineer knew the apartment number but could not tell what their ages were.

But when it was revealed that one son only was older than the others it meant there couldn’t be twin eldest sons, so  the ages must be 2, 2 and 9.