Question 695372
let Jane's age be x
mother 's age =y

x+y =43 ................(1)

after 14 years

Jane's age = x+14


1/2 * (y)=(x+14)

multiply by 2
y=2(x+14)

y=2x+28
y-2x=28...................2

solve equation (1) & (2)

x+y =43 multiply by 2
2x+2y=86
y-2x=28

Add
3y=114
/3
y=38 Mother's age
Plug y in any equation
daughter's age = 5 years