SOLUTION: Ken is 6 years older then Sue, who is 6 years older then Betty, who is 6 years older than Jason. If Jason's age is half of Ken's age, how old is Jason

A little thinking about the statement above will tell you that 
Ken is 18 years older than Jason.

So 

So we have the system of equations:



Since the question is

We substitute J+18 for K in 




Multiply both sides by 2 to clear the fraction:



Subtract J from both sides:

, so Jason is 18.

Checking the words:

Betty is 6 years older than Jason, so Betty is 24.
Sue is 6 years older than Betty, so Sue is 30.
Ken is 6 years older than Sue, so Ken is 36.
And indeed, Jason's age, which is 18 is half of Ken's age, 
which is 36.
 
Edwin