Question

The ages of Ramu and Rajani are in the ratio 7:5. Ten years hence, the ratio of their ages will be 9:7.Find their present ages.

Answer 1

Step-by-step explanation:

let the present ages of Ramu and Rajani be 7x and 5x years respectively.

Ten years hence

Ramu's age is (7x+10)years

Rajani's age is (5x+10)years

ATP

7x+10\5x+10=9\7

or 7(7x+10)=9(5x+10)

or 49x +70=45x +90

or 49x -45x=90-70

or 4x=20

or x=20\4

or x=5

Ramu's present age =7x years

=(7*5) years

=35 years

Rajani's present age=5x years

=(5*5)years

=25 years

ans: The present ages of Ramu and Rajani are 35 years and 25 years.