175k views
4 votes
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?

1 Answer

6 votes

Answer:

Janet age 5 years ago is 19-5= 14 years

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


x-25+6=(x+6)/(2)

Solve for x


x-19=(x+6)/(2)

multiply both sides by 2


2x-38=x+6

subtract x on both sides


x-38=+6

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

User Arul
by
5.2k points