SOLUTION: Tara is two years older than Ashley. In 4 years from now, Tara will be twice as old as Ashley was 4 years ago. Find their present ages.

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Question 1160126: Tara is two years older than Ashley. In 4 years from now, Tara will be twice as old as Ashley was 4 years ago. Find their present ages.
Found 4 solutions by mananth, MathTherapy, josgarithmetic, saw:
Answer by mananth(16946) About Me  (Show Source):
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Tara is two years older than Ashley.
Let Ashley,s age be x
Then Tara's age will be (x+2) years
4 years ago
Ashley's age = (x-4)years
4 years hence
Tara's age = (x+2)+4= (x+8)years

In 4 years from now, Tara will be twice as old as Ashley was 4 years ago.
(x+8) = 2(x-4)
x+8 =2x-8
x=16
you calculate Tara's present age.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Tara is two years older than Ashley. In 4 years from now, Tara will be twice as old as Ashley was 4 years ago. Find their present ages.
Here we go AGAIN!! The other person is WRONG!. Ashley is NOT 16 years-old! 


Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
t, Tara
a, Ashley
system%28t=a%2B2%2Ct%2B4=2%28a-4%29%29

substitution for t,
a%2B2%2B4=2a-8
a%2B6=2a-8
6%2B8=a
highlight%28a=14%29

highlight%28t=16%29

Answer by saw(34) About Me  (Show Source):
You can put this solution on YOUR website!
Solution.
Tara is two years older than Ashley
Let Ashley's age be x.
Then Tara's age will be 2+x.
4 years ago
Ashley's age = (x-4)
4 years hence
Tara's age = 4+2+x = 6+x
In 4 years from now,Tara will be twice as old as Ashley was 4 years ago
6+x = 2(x-4)
Multiply parenthesis by 2
6+x = 2x-8
Move terms
x-2x = -8-6
Collect the like terms & calculate the difference
-x = -14
Change the signs on both sides of the equation
x = 14
So Ashley's present age is 14 and Tara's is 16 years.