SOLUTION: Jack is four times older than mark. In six years mark will be half of jacks age. How old will jack be eight years from now?

Question 955170: Jack is four times older than mark. In six years mark will be half of jacks age. How old will jack be eight years from now?
Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
Jack is four times older than mark. In six years mark will be half of jacks age. How old will jack be eight years from now?
M=Mark's age; J=jack's age=4M
J=4M
J+6=2(M+6) Substitute for J
4M+6=2M+12 Subtract (2m+6) from each side.
2M=6 Divide each side by 2
M=3 Mark is 3 years old.
J=4M=4(3)=12 Jack is 12 years old.
In 8 yrs J+8-12+8=20 ANSWER: In 8 years, Jack will be 20 years old.
CHECK:
J+6=2(M+6)
12+6=2(3+6)
18=18

RELATED QUESTIONS
Three years from now Jack will be three times as old as Jill Jack is ten years older than (answered by ewatrrr)

Mark is 3 years older than Jane. In 4 years, Mark will be 1.5 times as old as Jane. How (answered by checkley77,Alan3354)

Chuck is 22 years older than Jack. When Jack is as old as Chuck is now, he will be three... (answered by josmiceli)

Noel is seven years older than Jack six years from now the sum of their ages will be... (answered by Alan3354)

Jack is 20 years older than Tom. 4 years later, Jack will be 3 times as old as Tom. How... (answered by mananth)

Jake is seven years older than Sydney. In eight years this some of their ages will be... (answered by josgarithmetic)

Jack is 5 years older than his sister. Fifteen years from now the sum of their ages will... (answered by josgarithmetic)

Suppose Jack is five years older than Jill. If Jill will be twice her current age in ten... (answered by ankor@dixie-net.com)

Jack is eight years older than his sister. In three years he will be twice as old as she... (answered by TimothyLamb)