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
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