Jones is now twice as old as he was 5 years ago and his mother is now 4 times as old as Jones. How old is his mother now?

Let's say Jones is currently x years old.

Five years ago, he was x-5 years old.
Now, Jones is twice as old as he was five years ago, meaning he is 2*(x-5) = 2x-10 years old.
His mother is now 4*(2x-10) = 8x-40 years old.
The age of Jones' mother now is indeed 8x-40 years. Answer: \boxed{8x-40}.