A problem from Joseph Madachy’s Mathematics on Vacation (1966):

When Bert was just one year younger than Bill was when Ben was half as old as Bill will be 3 years from now, Ben was twice as old as Bill was when Ben was 1/3 as old as Bert was 3 years ago. But, when Bill was twice as old as Bert, Ben was 1/4 as old as Bill was one year ago.

“Ignoring odd months and considering that Bert has passed the half-century mark, it will be no problem to find out how old these three friends are.”