The closing problem is more fun.

> A man is twice the age his wife was when he was the age she is now. When she reaches his present age, their combined years will be 100. Find the age of each.

This seemed initially like something amenable to guessing and checking a few ratios. <narrator voice>It was not.</narrator voice>

My answer: The man is 44 4/9 years old, the wife 33 1/3 years.