SOLUTION: Glenn is 24 years old. Glenn is twice as old as Jeni was when Glenn was as old as Jeni is now. How old is Jeni?

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Question 307124: Glenn is 24 years old. Glenn is twice as old as Jeni was when Glenn was as old as Jeni is now. How old is Jeni?
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

Let Jeni be J years old now.

Glenn is 24 years old. Glenn is twice as old as Jeni was...


Stop right there.  Let that "was" be x years ago.  So x years ago, 
Jeni was 12.  Therefore J-x = 12

Also x years ago Glenn was 24-x 

But x years ago was also...

...when Glenn was as old as Jeni is now. 


So Glenn's age then, which was 24-x, is equal to J,
which is Jeni's age now.

So we have this system of two equations in two unknowns:

system%28J-x=12%2C24-x=J%29

Solve that and get x=6 and J=18.

So Jeni is 18.

Checking, 6 years ago Glenn was 18, Jeni's age now. And
6 years ago Jeni was 12, and Glenn's age now, 24, is twice
12, Jeni's age then.

Edwin