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

Question 1004999: 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
Answer by AnlytcPhil(1806) (Show Source): You can put this solution on YOUR website!
>>Ken is 6 years older then Sue, who is 6 years older then Betty,
who is 6 years older than Jason.<<

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

So

>>Jason's age is half of Ken's age,<<



So we have the system of equations:



Since the question is

>>how old is Jason?<<

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:

>>Ken is 6 years older then Sue, who is 6 years older then Betty,
who is 6 years older than Jason. Jason's age is half of Ken's age.<<

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

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