Problem #36
What’s the Answer Makey?
Mrs. Broflovski, Kyle’s mother asked Mr. Makey, "Kyle was visited by three wizards today. If you multiply their ages, you’ll get 2450, and together their age is 2 less than your age. Can you tell me their ages?" After deep thought, the teacher said "No, I can’t." Then Mrs. Broflovski said, "Of course you can’t, but if I tell you that the oldest wizard is older than Kyle, you should be able to work out."
Give the sum of cubes of ages of the three wizards as well as Kyle.