Question 831624
Wow.  Convoluted problem! :-)
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Let Y be Sonya, R be Ryan, S be Sherry, and C be Carl.
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Here's what we're told in the question:
Y = 2R (who is now 10) (Sonya is twice as old as Ryan who was six four years ago.)
R = C + 3
C = S + 1
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The key here is that we know R (Ryan who was six four years ago)
Let's work from there.
If Ryan is 10, then Sonya is 20 (2R), Carl is 13 (R-3), and Sherry is 12 (C-1).
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In two years, Carl will be 13+2, or 15.
You should be able to figure out the rest.  It's an ugly-written problem, but the answer was contained in the question.