SOLUTION: Jason is six times as old as Kate. In two years, Jason will be twice as old as Kate is then. How old is Jason now?

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Question 856661: Jason is six times as old as Kate. In two years, Jason will be twice as old as Kate is then. How old is Jason now?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

Let x represent Kate's age   ⇒  +highlight_green%286x%29 is Jason's age

Question States*** In 2 years, Jason will be twice as old as Kate is then

6x + 2 = 2(x+2)

6x + 2 = 2x + 4

   4x = 2

        x = 1/2 years old, Kate's age.  Jason is 3  

CHECKING our answer*** In 2 years, Jason will be twice as old as Kate is then

Kate:  2+%2B+1%2F2+=+4%2F2+%2B+1%2F2+=+5%2F2

  5=+2%285%2F2%29

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