SOLUTION: Darren is four times old as Tabitha. In twenty years, Darren will be twice as old as Tabitha. How old are they now?

Question 1077184: Darren is four times old as Tabitha. In twenty years, Darren will be twice as old as Tabitha. How old are they now?
Found 2 solutions by addingup, ankor@dixie-net.com:
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
D = 4T
and in twenty years:
D+20 = 2(T+20) substitute for D:
4T+20 = 2(T+20)
4T+20 = 2T+40
4T = 2T+20
2T = 20
T = 10
Tabitha is 10 and Darren is 40
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
Wrote an equation for each statement
:
Darren is four times old as Tabitha.
d = 4t
In twenty years, Darren will be twice as old as Tabitha.
d + 20 = 2(t+20)
d + 20 = 2t + 40
d = 2t + 40 - 20
d =2t + 20
replace d with 4t from the 1st statement
4t =2t + 20
4t - 2t = 20
2t = 20
t = 10 yrs is Tabitha's age now
then
4(10) = 40 yrs is Darren's age
:
:
:
Check solution in the statement
"In twenty years, Darren will be twice as old as Tabitha. "
40 + 20 = 2(10 + 20)
RELATED QUESTIONS
Fifteen years from now Darren will be four times as old as he was three years ago. How... (answered by BurningFlame_marc)
darren is 8 years older then his sister. in three years he will be twice as old as she... (answered by thejackal)
a father is four times as old as his son. in twenty years he will be twice as old. how... (answered by stanbon)
Lucy is four times as old as Mary. In twenty years Lucy will be three times as old as... (answered by sofiyac)
Darren is three years older than his sister.In three years, he will be twice as old as... (answered by stanbon)
Mrs. Childs is forty- three years old and her son Darren is thirteen. How many years ago... (answered by solver91311)
Mrs. Childs is forty-three years old and her son Darren is thirteen. How many years ago... (answered by TimothyLamb)
Ana is three times as old as Rain. Four years form now she will be twice as old as Rain.... (answered by TutorDelphia)
Jack is twice as old as Jill.In 2 years, Jack will be four times as old as Jill was 9... (answered by josgarithmetic,MathLover1)