Question

Rashed is three times as old as his sister Fatimah. In five years from now, Rashed will be twice as old Fatimah. If Fatimah’s age now is f years, then which of the following is a correct equation to find f?

Answer 1

Explanation:

Let R be Rashed's current age and F be Fatimah's current age.

From the first sentence, we know that R = 3F.

In five years from now, Rashed's age will be R + 5 and Fatimah's age will be F + 5. We are also given that R + 5 = 2(F + 5).

Substituting R = 3F into the equation R + 5 = 2(F + 5), we get:

3F + 5 = 2(F + 5)

Simplifying this equation, we get:

3F + 5 = 2F + 10

F = 5

Therefore, Fatimah's current age is 5 years old.