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?

Answer 1

Given :

• 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.

To find :

• Abdul's present age

According to the question,

Let the age of Abdul be x

And his father be 3x

Now,

10 years ago :-

• Abdul's age = x + 10
• Abdul's father's age = 3x - 10

➞ 5(x - 10) = 3x - 10

➞ 5x - 50 = 3x - 10

➞ 5x - 3x = - 10 + 50

➞ 2x = 40

➞ x = 40 ÷ 2

➞ x = 20

So, the present age of Abdul is 20 years.

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V E R I F I C A T I O N :-

➞ 5(x - 10) = 3x - 10

➞ 5x - 10 = 3x - 10

➞ 5x - 3x = - 10 + 50

➞ 2x = 40

➞ Putting the value of x = 20

➞ 2(20) = 40

➞ 40 = 40

∴ L.H.S = R.H.S

Hence,Verified.

Answer 2

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 = $\sf\dfrac{\cancel{40}}{\cancel{2}}$

➠ x = 20 years

Hence, the required age of Abdul are,

⇒ x

➠ 20 years

$\therefore$ The present age of Abdul is 20 years .