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.


Simplify:
Multiply through by 2 to clear the fraction:








Since 

,
we substitute:






Since 

, we substitute:




.
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