Question

In a film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. He wittily replies, "Ah, but in 18 years time I shall only be twice her age." How old are the uncle and the woman?

Answer 1

Answer:the uncle is 54 years old.

The woman is 18 years old

Explanation:

Let x represent the age of the uncle.

Let y represent the age of the woman that he married.

In the film, an actor played an elderly uncle character is criticized for marrying a woman when he is 3 times her age. This means that

x = 3y

He wittily replies, "Ah, but in 18 years time I shall only be twice her age. It means that

x + 18 = 2(y + 18)

x + 18 = 2y + 36 - - - - - - - - - - 1

Substituting x = 3y into equation 1, it becomes

3y + 18 = 2y + 36

3y - 2y = 36 - 18

y = 18

x = 3y = 3 × 18

x = 54