Question

Present ages of Rana and Rohit are in ratio of 5 : 9 .After 6 years, ratio of their ages will be 7 : 11. Find the present ages of Rana and Rohit. Don't d
spam..Solve quickly.​

Answer 1

Given

Present ages of Rana and Rohit are in ratio of 5 : 9

After 6 years ratio of ages = 7 : 11

To find

Present ages of Rana and Rohit.

Solution

Let the present ages of Rana & Rohit be 5n & 9n years respectively.

According to Question :

➻ (5n + 6) : (9n + 6) = 7 : 11

➻ (5n + 6)/(9n + 6) = 7/11

➻ 7(9n + 6) = 11(5n + 6)

➻ 63n + 42 = 55n + 66

➻ 63n - 55n = 66 - 42

➻ 8n = 24

➻ n = 24/8

➻ n = 3

Now finding present age of Rana :

⟼ Present age of Rana = 5n

⟼ Present age of Rana = 5(3)

⟼ Present age of Rana = 15 years.

Now finding present age of Rohit :

➝ Present age of Rohit = 9n

➝ Present age of Rohit = 9(3)

➝ Present age of Rohit = 27 years.

Therefore,

Present ages of Rana & Rohit are 15 years & 27 years respectively.

Answer 2

AnswEr:

Present ages of Rana and Rohit are 15 years and 27 years respectively.

ExplanaTion:

Given :

• Present ages of rana and Rohit are in ratio 5:9

• After 6 years, ratio of their ages will be 7:11

To find :

• Present ages of Rana and Rohit

SoluTion :

Let the ages of Rana and Rohit be 5x and 9x respectively.

After 6 years,

→ Age of Rana = 5x + 6

→ Age of Rohit = 9x + 6

According to Question,

→ (5x + 6)/(9x + 6) = 7/11

→ 11(5x + 6) = 7(9x + 6)

→ 55x + 66 = 63x + 42

→ 55x - 63x = 42 - 66

→ -8x = -24

→ x = 24/8

→ x = 3

______________________

Now,

★ Present age of Rana = 5x

→ Present age of Rana = 5 × 3

→ Present age of Rana = 15 years

★ Present age of Rohit = 9x

→ Present age of Rohit = 9 × 3

→ Present age of Rohit = 27 years

Hence, present ages of Rana and Rohit are 15 years and 27 years respectively.