gmat janet is now 25 years younger than her mother Carol. If in 6 years Janet's age will be half Carol’s age, how old was Janet 5 years ago?

Respuesta :

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