Question

The age of Mohan and Sohan are in ratio 5:7. If Mohan was 9years older and Sohan 9 years younger, then their ages would be in ratio 2:1. Find their present age.

Answer 1

5x+9/7x+9 this is to2/1 5x+9/7x+9 =2/1 answer is -1

Answer 2

let x be the present age of mohan and sohan then present age of mohan is 5x and that of sohan is 7x

According ti 1st condition

Mohans age willbe 5x+9

sohans age willbe 7x-9

5x+9:7x-9 = 2:1

i.e, 5x+9/7x-9 = 2/1

Cross multiplication

(5x+9)1 = (7x-9)2

5x+9 = 14x-18

5x-14x = -18-9

-9x = -27

9x = 27

x = 3

present age of mohan is 5x =5(3) = 15

present age of sohan is 7x = 7(3) = 21