SOLUTION: Please help me solve this problem: Rose is 6 years older than her sister Cora. In 4 years she will be 9 years more than 1/2 as old as Cora. How old are the girls now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Please help me solve this problem: Rose is 6 years older than her sister Cora. In 4 years she will be 9 years more than 1/2 as old as Cora. How old are the girls now?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1058440: Please help me solve this problem:
Rose is 6 years older than her 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 Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
Please help me solve this problem:
Rose is 6 years older than her sister Cora.
R%22%22=%22%22C%2B6

In 4 years she will be 9 years more than 1/2 as old as Cora.
R%2B4%22%22=%22%22expr%281%2F2%29%28C%2B4%29%2B9

Simplify:

Multiply through by 2 to clear the fraction:

2R%2B8%22%22=%22%22%28C%2B4%29%2B18

2R%2B8%22%22=%22%22C%2B4%2B18

2R%2B8%22%22=%22%22C%2B22

2R%22%22=%22%22C%2B14

Since R%22%22=%22%22C%2B6,

we substitute:

2%28C%2B6%29%22%22=%22%22C%2B14

2C%2B12%22%22=%22%22C%2B14

C%22%22=%22%222

Since R%22%22=%22%22C%2B6, we substitute:

R%22%22=%22%222%2B6

R%22%22=%22%228.

So now, Rose is 8 and Cora is 2.

Checking:

Rose is 8, and that is 4 times Cora's age, which is 2.

That checks.

In 4 years Rose will be 12, and Cora will be 6.

12 is 9 more than 3 and 3 will then be half of
Cora's age, which will then be 6.

That also checks.

Edwin