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  1. November 16th, 2008 09:33 AM #1
    dauntless18
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    PS - number theory

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    Posted by: dauntless18

    . On a legislative committee, the number of males is 2 fewer than twice the number of female. If one male was replaced by a female , there would be an equal number of males and females on the committee, How many members are on the committee?
    A.6
    B.7
    C.10
    D.22
    E. 24
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  2. November 17th, 2008 03:35 AM #2
    swethapv
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    IMO C

    M = 2F - 2
    M - 2F = -2
    2fF- M = 2 -> eqn 1
    M - 1 = F + 1
    M- F = 2 -> eqn 2
    Solving the 2 equations we get:
    F = 4
    M = 6
    therefore M+F = 10
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