Question

Grandfather's age is 3 times Abdul's age.nine years ago his age was 7 times Abdul's age. Find their present age

Answer 1

Let the present age of Abdul be x years

Let Abdul's Grandfather's age be 3x years

Before 9 years,

Age of Abdul = x - 9

Age of Abdul's Grandfather = 3x - 9

Before 9 years, Grandfather was 7 times Abdul's age. So, age of Abdul before nine years = 7(x - 9)


According to the given condition,

7(x - 9) = 3x - 9

➾ 7x - 63 = 3x - 9

➾ 7x - 3x = -9 + 63

➾ 4x = 54

➾ x = 13.5


∴ Present age of Abdul ➾ x years

➾ $\green{\boxed{\green{\boxed{\red{\textsf{13.5\:years}}}}}}$


∴ Present age of Abdul's Grandfather ➾ 3x years

➾ 3 × 13.5

➾ $\green{\boxed{\green{\boxed{\red{\textsf{40.5\:years}}}}}}$

Answer 2

$<h4>Let the present age of Abdul be x years.$

Then, the present age of Grandfather will be 3x years.

9 years ago,

Abdul's age = ( x - 9 ) years.

Grandfather's age = ( 3x - 9 ) years.

According to the question,

7 ( x - 9 ) = ( 3x - 9 )

7x - 63 = 3x - 9

7x - 3x = 63 - 9

4x = 54

x = $\frac{54}{4}$

x = 13.5 years ≈ 14 years

PRESENT age of Abdul = 14 years.

PRESENT age of Grandfather = 3x = 3 × 13.5 = 40.5 years ≈ 41 years.