In a film, a character is criticized for marrying a woman when he is three times her age. he wittily replies, "ah, but in 25years time i shall only be twiceher age." how old are the man and the woman?

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. :)

think about it deeply and passionately about this property

i am sorry