Question

If x+1/y=y+1/z=z+1/x=1, then prove that x=y=z.

Answer 1

x=x+1 y=y+1,z=z+1and x=1
x=1let x1,,,1+1,y+1+z+1
=2+y+z+2
means x=2and y+z=2
hence proved,that x=y=z
reason-the sum of y+z=sum of x+1 because=1so 1+1=2and sum of yandz are also,2