Laila is four times as old as her 2 year old brother Mansoor. How old will Mansoor be when he is half the age of his older sister Laila?

Laila is four times as old as her 2 year old brother Mansoor. How old will Mansoor be when he is half the age of his older sister Laila?

Explanation

Laila is four times as old as Mansoor, and Mansoor is 2 years old, so:

Laila's age = 4 × 2 = 8 years old

We want to find out how old Mansoor will be when he is half the age of Laila. Let's assume Laila's age at that time is x. Then, Mansoor's age will be x/2.

Since Mansoor is currently 2 years old, we need to find the difference in their ages, which is:

x - 2 = Laila's age - Mansoor's age = 8 - 2 = 6 years

So, Mansoor will be half the age of Laila when:

x/2 = 6

x = 12

Now, we need to find Mansoor's age at that time:

Mansoor's age = x/2 = 12/2 = 6 years old

Therefore, the answer is:

6