帮偶做一下哈,.(急用,快哦,有甲、乙、丙三个箱子,各装有若干个球.先从甲箱中取出一批球放进乙和丙的箱中,所放之数分别是

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  • 解设甲,乙,丙箱中开始各有球x y z个

    x y z

    (x-y-z) (2y) (2z)[第一次取放]

    2(x-y-z) 2y-2z-2(x-y-z) (4z)[第二次取放]

    4(x-y-z) 2(3y-z-x) { 4z-2(x-y-z)-(3y-z-x)

    =(7z-x-y)}[第三次取放]

    x+y+z=96*3 (1)

    4(x-y-z)=2(3y-z-x) (2)

    4(x-y-z)=(7z-x-y) (3)

    解之得x=52 y=28 z=16