A statistician knocks at a house door. The statistician asks, "how many children do you have?" The man at the door answers, "three". The statistician asks, "what are their ages?" The man answers, "the product of their ages is 36" The statistician, unable to determine their ages, asks for another hint. The man says, "The sum of their ages is the number on the house next door." The Statistician goes next door to determine the number. He returns and asks for another hint. The Man says, " the oldest plays the guitar." The Statistician now knows the ages. what are the ages?

any help would be appreciated!