Question

Six years ago, the ratio of the ages of vimal and saroj was 6:5. Four years hence, the ratio of their ages will be 11:10. What is saroj's age at present?

Answer 1

let the age of vimal and Saroj be X and y

A T Q

six years ago the age of vimal and Saroj

X-6/y-6=6/5

5x-30=6y-36

5x-6y=-6;;;;;;;;;;;;;;(1)

now four years hence the age of vimal and Saroj

X+4/y+4=11/10

10x+40=11y+44

10x-11y=4;;;;;;;;;;;;;(2)

equation 1 and 2 putting together

50x-60y=-60

50x-55y=20
- + -

___________

-5y=-80

y=16

putting the value of y in equation 1

5x-6y =-6

5x-6*16=-6

5x=-6+96

5x=90

X=18

hence the age of vimal and Saroj are 16 years and 18 years