Question

If Vu is three times as old as Wu and in 25 years Wu will be twice as old as Vu, how old is Vu now?

a. 18
b. 15
c. 12
d. 21

Answer 1

Wu is currently 5 years old and Vu is currently 15 years old.

Step-by-step explanation:

Let's assume Wu's age is represented by the variable x. According to the question, Vu is three times as old as Wu, so Vu's age can be represented as 3x.

In 25 years, Wu's age will be x + 25 and Vu's age will be 3x + 25. The question states that in 25 years, Wu will be twice as old as Vu. So we can set up the equation:

x + 25 = 2(3x + 25)

By solving this equation, we can determine the value of x, which represents Wu's current age. Once we have x, we can find Vu's age by multiplying it by 3.

Let's solve the equation:

x + 25 = 6x + 50

Bring all the x terms to one side:

5x = 25

Divide both sides by 5 to isolate x:

x = 5

So Wu is currently 5 years old.

To find Vu's age, we multiply Wu's age by 3:

Vu's age = 3 * 5 = 15