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