Question

Abdul is x years old.his father is thrice as old as him.10 years ago, abdul's father was 5 times as old as abdul was.what is abdul's present age?


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Answer 1

Answer:

Given :-

Abdul is x years old as his father is thrice as old as him.

Before 10 years ago Abdul's father was 5 times as old as Abdul.

To Find :-

What is the Abdul's present age.

Solution :-

Let, the age of Abdul = x years

And, the age of his father = 3x years

Before 10 years ago, Abdul age = x - 10 years

And, his father age = 3x - 10 years

According to the question,

⇒ 5(x - 10) = 3x - 10

⇒ 5x - 50 = 3x - 10

⇒ 5x - 3x = - 10 + 50

⇒ 2x = 40

⇒ x = \sf\dfrac{\cancel{40}}{\cancel{2}}

2

40

➠ x = 20 years

Hence, the required age of Abdul are,

⇒ x

➠ 20 years

\therefore∴ The present age