Question

A man and a woman's ages total 98.
He is twice as old as she was when he was her age now.
What are their ages?

Answer 1

m+w=98
m = 2(w-(m-w))

she is 42 and he is 56
He is 14 years older than she, so 14 years ago, she was 28.

Answer 2

Yes. The difference of their ages is the key.