Question

The ages of Afrid and Riyaz are in ratio of 5:7. Four years from now, the ratio of their ages will be 3:4. Find their present ages.​

Answer 1

Answer:

The Present Age of Afrid and Riyaz is 20 years and 28 respectively.

Step-by-step explanation:

Given :

Present ages ratio = 5 : 7

Ages after 4 years = 3 : 4

To Find :

Their Present Ages

Solution :

Consider the Present ages as

Afrid as 5x

Riyaz as 7x

⇒ 5x + 4/7x + 4 = 3/4

⇒ 4(5x + 4) = 3(7x + 4)

⇒ 20x +16 = 21x + 12

⇒ 21x - 20x = 16 - 12

⇒ x = 4  

$\rule{300}{1.2}$

★ Value of 5x

⇒ 5 × 4

⇒ 20

★ Value of 7x

⇒ 7 × 4

⇒ 28

$\rule{300}{1.2}$

∴ The Present Age of Afrid and Riyaz is 20 years and 28 respectively.

Answer 2

Answer -

Let Afrid be 5x and Riyaz be 7x

==> 5x + 4/7x + 4 = 3/4

==> 4(5x + 4) = 3(7x + 4)

==> 21x - 20x = 16 - 12

==> x = 4

Afrid =

==> 5 × 4 = 20

Riyaz =

==> 7 × 4 = 28

.°. Afrid is 20 years old and Riyaz is 28 years old.