Question

已知有理数x,y,z满足x+y/3=y+z/4=z+x/5,且x+y+z=12,则x=_____,y=——,z_____

Answer 1

x+y/3=y+z/4=z+x/5=k

x+y=3k

y+z=4k

z+x=5k

2(x+y+z)12k

2*12=12k

k=2

x+y=6

y+z=8

z+x=10

x=4

y=2

z=6