SOLUTION: jonathan is 32. jonathan is as twice as old as sandy was when jonathan was as old as sandy. how old is sandy?

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Question 927753: jonathan is 32. jonathan is as twice as old as sandy was when jonathan was as old as sandy. how old is sandy?
Answer by Edwin McCravy(20056) About Me  (Show Source):
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jonathan is 32. jonathan is as twice as old as sandy was when jonathan was as old as sandy. how old is sandy?
Let x = the number of years ago it was when Jonathan was the age Sandy is now.

Therefore J - x = S  and since J = 32,
         32 - x = S

Jonathan is now twice as old as Sandy was x years ago, so

         J = 2(S - x)  and since J = 32
        32 = 2(S - x)

So we have the system of equations:

system%2832-x=S%2C32=2%28S-x%29%29

solve that system, get x=8, S=24.

Checking:  8 years ago Jonathan was 32-8 or 24.
           8 years ago Sandy was 24-8 or 16.
           Jonathon, being 32 now, is twice Sand'y age then
           which was 16, so it checks.

Edwin