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Math Help - Who was placed second?

  1. #1
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    Question Who was placed second?

    Alice, Betty, and Carol took the same series of examinations. For each
    examination there was one mark of x, one mark of y, and one mark of z, where x, y, z are distinct positive integers. After all the examinations, Alice had a total score of 20, Betty a total score 10, and Carol a total score of 9. If Brabara was placed first in Algebra, who was placed second in Geometry?
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  2. #2
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    Huh?

    Who the heck is Brabara?
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  3. #3
    MHF Contributor
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    If you meant Betty was 1st in Algebra, then she can be 2nd in Geometry:

    Code:
           A  G  ?  ?
    Alice  2  6  6  6 = 20
    Betty  6  2  1  1 = 10: Betty 1st in Algebra,2nd in Geometry
    Carol  1  1  1  6 =  9
    Looks like quite a few solutions are possible.
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