SOLUTION: Four years ago, Jane was twice as old as Sam. Four years on from now, Sam will be ¾ of Jane's age. How old is Jane now?

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Question 993937: Four years ago, Jane was twice as old as Sam. Four years on from now, Sam will be ¾ of Jane's age. How old is Jane now?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = Jane's age now
Let = Sam's age now
(1)
(2)
-------------------------
(1)
(1)
-------------------
(2)
(2)
----------------------
Multiply both sides of (1) by
and add the equations
(1)
(2)
--------------------


and
(1)
(1)
(1)
Jane is 12 now
---------------
check:
4 yrs ago, Jane was 8
4 yrs ago, Sam was 4
Jane was 2X as old
------------------
In 4 yrs, Sam is 12
In 4 yrs, Jane is 16

OK

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