Question

The age of aslam and ahmed in the proportion of 3:5 .After 9 years the proportion of their age will b 3:4 what is the current age of ahmed?​

Answer 1

$\huge\bf\underline\blue{Answer}$

The age of Ahmed is 15 years respectively.

Explanation:-

Given :

Ratio of the ages of Aslam and Ahmed = 3 : 5

Ratio of the ages of Aslam and Ahmed after 9 years = 3 : 4

To find :

The current age of Ahmed

Solution :

Let the present age of Aslam be 3x

And the present age of Ahmed be 5x

After 9 years,

Age of Aslam = (3x + 9) years

Age of Ahmed = (5x + 9) years

According to question,

$= > \dfrac{3x + 9}{5x + 9} = \dfrac{3}{4}$

Cross multiplying the terms.

$= > 3(5x + 9) = 4(3x + 9)$

$= > 15x + 27 = 12x + 36$

$= > 15x - 12x = 36 - 27$

$= > 3x = 9$

$= > x = \dfrac{9}{3}$

$= > x = 3$

Hence, the value of x is 3

Therefore,

The age of Aslam => 3x = 3 × 3 = 9 years

And the age of Ahmed => 5x = 5 × 3 = 15 years

Answer 2

$\huge\bf{\pink{\mid{\overline{\underline{Explained\:Answer}}}\mid}}$

$\huge\bold{Solution →}$

Given→

Ratio of the age of Aslam and Ahmed = 3:5

Ratio of the age of Aslam and Ahmed = 3:4

Find Out →

The current age of Ahmed

Solve →

Let the present age of Aslam = 3x

and, the present age of Ahmed = 5x

After 9 years,

The age of Aslam = (3x + 9) years

The age of Ahmed = (5x + 9) years

As per Question,

=> 3x + 9 / 5x + 9 = 3 / 4

=> 3(5x + 9) = 4(3x + 9)

=> 15x + 27 = 12x + 36

=> 15x - 12x = 36 - 27

=> 3x = 9

=> x = 9 / 3

$\huge\boxed {.°.\:x = 3}$

Now,

For finding the current age of Ahmed, we have to put the value of x.

The current age of Ahmed = 5x

= 5x

= 5 × 3 [°.° x = 3]

= 15 years.

Answer →

Hence, the current age of Ahmed is 15 years old.