Question

The ratio between the ages of Ajay and Vijay is 3:5 and the difference between their ages is 8 years, what will be the ratio of their ages after 8 years​

Answer 1

Given :

• The ratio between the ages of Ajay and Vijay is 3:5 and the difference between their ages is 8 years.

To Find :

• The ratio of ages of ajay and vijay after 8 years.

Solution :

Let the present age of ajay be 3x and vijay be 5x

★ After 8 years :

• Age of ajay = 3x + 8 years
• Age of vijay = 5x + 8 years

★ According to Question now :

→ 5x - 3x = 8

→ 2x = 8

→ x = 8 ÷ 2

→ x = 4

Hence,

• Present Age of ajay = 3x = 3(4) = 12 years
• Present Age of vijay = 5x = 5(4) = 20 years

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

➺ 5x - 3x = 8

➺ 5(4) - 3(4) = 8

➺ 20 - 12 = 8

➺ 8 = 8

Hence Verified !

★ The ratio of ages of ajay and vijay after 8 years :

• Age of ajay = 3x + 8 = 12 + 8 = 20 years
• Age of vijay = 5x + 8 = 20 + 8 year

Therefore,ratio of ages of ajay and vijay after 8 years is 20 : 28 = 10 : 14 = 5 : 7.