SOLUTION: Sam is 6 years older than Jane. 6 years ago he was twice as old as Jane was. How old is Jane now?

Question 1044843: Sam is 6 years older than Jane. 6 years ago he was twice as old as Jane was. How old is Jane now?
Found 2 solutions by josmiceli, Alan3354:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Jane's age now
Let = Sam's age now
= Sam's age 6 yrs ago
= Jane's age 6 yrs ago
-----------------------------
(1)
(2)
-----------------------
(1)
(2)
(2)
-----------------------
Add (1) and (2)
(1)
(2)
--------------------

and
(1)
(1)
(1)
-------------------
Jane is 18 now
-------------------
check:
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
OK
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
The age difference is always 6 years.
----
Twice as old --> 6 & 12
etc.
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