Answer:
Janet age 5 years ago is 19-5= 14 years
Step-by-step explanation:
janet is now 25 years younger than her mother Carol.
Let x be the age of mother
Janet is x-25
In 6 years, Carol becomes x+6
[tex]x-25+6=\frac{x+6}{2}[/tex]
Solve for x
[tex]x-19=\frac{x+6}{2}[/tex]
multiply both sides by 2
[tex]2x-38=x+6[/tex]
subtract x on both sides
[tex]x-38=+6[/tex]
add 38 on both sides
x=44
Age of Carol now = 44
Age of Janet now = 44-25=19 years
Janet age 5 years ago is 19-5= 14 years