Q(posed by a high-school student to his math teacher):

Could you tell my age after I disclose the fact that the current number of years of my existence equals the sum of digits representing my age plus their product?

A(provided after 2 minutes of pondering upon the subject): Yes, I have figured out your age, but I must tell you that if the question was posed by phone
by a stranger whom I do not see I would not be able to solve this problem.

Please comment about this dialog.