Question

11. In four years' time, Khairul's mother will be three times as old as Khairul.

Find
Six years ago, his mother was seven times as old as him.
(i) Khairul's present age,
(ii) the age of Khairul's mother when he was
born.

Answer 1

Therefore, the age of Khairul's mother when he was born is 0.5 years.

Explanation:

Let's assume Khairul's present age is x years.

In four years' time, Khairul's mother will be three times as old as Khairul, so her age will be 3x+4 years.

Six years ago, Khairul's mother was seven times as old as him, so her age at that time was 7(x-6) years.

(i) We can set up the equation:

3x+4 = 7(x-6)

Expanding and simplifying the equation, we get:

3x+4 = 7x-42

4x = 46

x = 11.5

So, Khairul's present age is 11.5 years.

(ii) To find the age of Khairul's mother when he was born, we need to subtract Khairul's age from his mother's age when he was born. Since Khairul is currently 11.5 years old, his mother's age when he was born would be 11.5 - 11 = 0.5 years old.

Therefore, the age of Khairul's mother when he was born is 0.5 years.