Question

11. Ratio of Rani's and Komal's ages is 3:5 respectively,
Ratio of Komal's and Pooja's ages is 2:3 respectively,
If Rani is two fifth of Pooja's age, what is Rani's age? ​

Answer 1

Correct Question ➡

Ratio of Rani's and Komal's ages is 3:5 respectively,

Ratio of Komal's and Pooja's ages is 2:3 respectively.

If Rani is two fifth of Komal's age, what is Rani's age?

Given ➡

• Ratio of the age of Rani and Komal is 3 : 5

• Ratio of the age of Komal and Pooja is 2 : 3

• Rani's age is 2/5 th of Pooja's age

To find ➡

• Rani's present age = ?

Solution ➡

Let the present age of Rani be :- x

Let the present age of Komal be :- y

x = 2 / 5 × y

➡ x = 2y / 5

Ratio =

x : Pooja's age = 3 : 5

➡ Pooja's age = 5x / 3 __________________( i )

y : Pooja's age = 2 : 3

➡ Pooja's age = 3y : 2 __________________( ii )

Equating both the equations ( i ) and ( ii ) we get,

5x : 3 = 3y : 2

➡ 10x = 9y

➡ 10 × 2y / 5 = 9y

➡ 20y / 5 = 9