Question

the present ages of Kamal and Rohit are in the ratio 7:5 . Six years hence,their ages will be in the ratio 5:4 . Find the present ages

Answer 1

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Answer 2

Let the present age of Kamal be 7x years

So, the present age of Rohit be 5x years

6 years hence -

Kamal's age = (7x + 6) years

Rohit's age = (5x + 6) years

According to Question,

(7x + 6) / (5x + 6) = 5 / 4

=> 4(7x + 6) = 5(5x + 6)

=> 28x + 24 = 25x + 30

=> 28x - 25x = 30 - 24

=> 3x = 6

=> x = 6 / 3

=> x = 2

Required Ages -
_____________

Kamal's age = 7x = 7(2) = 14 years

Rohit's age = 5x = 5(2) = 10 years

Hence, Kamal's present age is 14 years and Rohit's present age is 10 years