{3分之x=4分之y=5分之z,x+y+z=24怎么求x,y,z

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{3分之x=4分之y=5分之z,x+y+z=24怎么求x,y,z

{3分之x=4分之y=5分之z,x+y+z=24怎么求x,y,z
{3分之x=4分之y=5分之z,x+y+z=24怎么求x,y,z

{3分之x=4分之y=5分之z,x+y+z=24怎么求x,y,z
x/3 = y/4 =z/5 = t ==> x =3t y = 4t z = 5t x + y + z = 24 ==> 3t + 4y + 5t = 24 ==> 12t =24 ==> t = 2 x = 3t =3 * 2 = 6 y = 4t = 4 * 2 = 8 z = 5t = 5 * 2 = 10