Question

The age of Manisha and Sudeshna are in the ratio of 5 : 6 respectively. After 8 years the ratio of their ages will be 7 : 8. What is the difference of their ages ?

Answer 1

let common multiple be x
manisha age =5x
sudeshna age=6x
after 8 years
manisha age =5x+8. =7x
sudeshna age=6x+8. =8x

5x+8=7x
8=7x-5x
8=2x
x=4


present age
Manisha = 5(4) =20 yrs
Sudeshna =6(4) = 24 yrs

difference of ages =24 -20
=4 years...