SOLUTION: Susan is six years older than Mary. She is also twice as old as Mary was when Susan was as old as Mary is now. How old is each now? I have this as a homework problem, and i am not

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Question 521603: Susan is six years older than Mary. She is also twice as old as Mary was when Susan was as old as Mary is now. How old is each now?
I have this as a homework problem, and i am not sure how to set up the equation. So I need help with setting up the equation, and potentially getting the correct answer in the end. Thank You!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Let represent Susan's age now. Let represent Mary's age now.

We know that



Susan was as old as Mary is now 6 years ago, so Susan's age when she was as old as Mary is now is which we can see is the same as . 6 years ago Mary was . So Susan's age 6 years ago was twice Mary's age 6 years ago:



Solve for , then calculate

John

My calculator said it, I believe it, that settles it
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