Question 1058442: please help me solve this problem:Rose is 6 years older than his sister Cora in 4 years she will be 9 years more than 1/2 as old as Cora. how old are the girls now?
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website!  = Cora's age now
 = Rose's age now.
In 4 years, Cora's age will be  ,
and Rose's age will be  .
The problem says that will be
9 more than half Cora's age,
which would be
 .
So,our equation is
 .
There are many different paths to the solution.
Solve that equation whatever way feels comfortable to you.
This is how I would "show my work."
= Cora's age
= Rose's age
Cora is 
and Rose is  .
Checking: In 4 years, Cora will be 6 and Rose will be 12.
Half of Cora's age will be 3, and 9 more than that will be 12.
Explanation for my equation solving steps:
To "eliminate denominators" I multiplied both sides of the equal sign times the 2 that appeared in the denominator.
In baby steps, that would take me
from to  .
Applying the distributive property, that is
 .
Then,I simplify that to
 and then to
and to .
I do not write all those baby steps,
I just do them in my head.
In the next step,
I add  to both sides of the equation,
or subtract x and 20 from both sides of the equation,
to have all the x's on one side and a'll the numbers without x's on the other.
I could have done that in two steps
if I had a teacher who liked it better that way.
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