a. A mathematics professor recently purchased a birthday cake for her son with the inscrip...

a. A mathematics professor recently purchased a birthday cake for her son with the inscription

Happy th Birthday.

How old is the son?

b. The birthday boy, excited by the inscription on the cake, tried to wolf down the whole thing. Professor Mom, concerned about the possible metamorphosis of her son into a blimp, exclaimed, “Hold on! It is your birthday, so why not take of the cake? I’ll eat half of what’s left over.” How much of the cake did the professor eat?