Answer:
The woman its 25 years old. The man its 50.
Step-by-step explanation:
Let the age of the man (in years) be
and the age of the woman (in years) be
, right now he is three times her age, so:

We also know that in 25 years, his age,
, will be two times the age of hers,
, so:
.
Now, of course, the age of each one, in 25 years, will be the same age they got right now plus 25 years;


We can replace this values on our second equation, and get:

Working it a little:



We can replace this value on our first equation:




The woman its 25 years old! We know the man its three times that age, so:
.
The man its 75 years old!
In 25 years she will be 50 and he will be 100, exactly two times her age. :)