The Problem: This problem requires you to apply multiplication skills and logical thinking when developing your response. Please show as much of your work as possible to clearly show the steps you used to find the solution. You must support any results you give with an explanation that makes sense. A census taker knocks on the door and a woman answers. She informs the census taker that she lives in the house with her three sons. The census taker asks for their ages and the woman informs him that the product of the boys' ages equals 36 and the sum of their ages equals the address of the house next door. He finds this rather odd, but he walks to the house next door which has the number 13 on it. He realizes that he still needs a bit more information and returns to the woman for a hint. The woman tells him that her oldest son was born in a leap year. How old are her three sons? {HINT: write out the factors of 36 for three digits multiplied together}