Question 581148
venu and renu's ages are in the ratio of 4 : 5

let the common multiple be x

their ages will be 4x & 5x repectively

After 6 years

their ages will be 4x+6 & 5x+6 repectively

{{{(4x+6)/(5x+6)= 5/6}}}


Cross multiply

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

24x+36=25x+30

bring the variables on one side

24x-25x=30-36

-x=-6

so x=6

Venu's age = 4x = 4*6 = 24 years
Renu's age = 5x=5*6=30 years