Question

isha is 5years younger than her brother. after 4 years,their ages will be in ratio 2:3,find their present ages

Answer 1

let isha e x
then brother is x+5

after 4 years,their ages will be in ratio 2:3,
[x+4/x+5+4]=2/3
[x+4/x+9]=2/3
2(x+9)=3(x+4)
2x+18=3x+12
2x-3x=-18+12
-1x=-6
x =6
brother is x+5
6+5
11
isha is 6 ;brother is 11

Answer 2

let Isha's present age be x years.
Her brother's age will be x+5 years.

After 4 years,
Isha's age=x+4 years
her brother's age=x+5+4 years= x+9 years.

ratio of their ages after 4 years =2:3

A.T. Q,
x+4/x+9=2/3
→2(x+9)=3 (x+4)
→2x+18=3x+12
→3x-2x=18-12
→x=6 years

(x+5) years = (6+5)= 11 years

Hence , Isha's present age is 6 years and her brother's age is 11 years respectively.

Hope this helps you :-)