X,Y,Z & W are integer.The expr X-Y-Z is even and expr Y-Z-W is odd.IF x IS even .What must be true?

• x=y=z=even then x-y-z =even
  since y and z are even w must be odd to make the result odd
• 10 years agoHelpfull: Yes(8) No(0)
• obivious if x is even then to make x-y-z even y,z are even and in 2nd eqtn if y z are even then w must be odd to meke the solution odd
  
• 10 years agoHelpfull: Yes(1) No(0)
• atleast write the options ...
• 10 years agoHelpfull: Yes(1) No(0)
• given, x-y-z=even ..... (1) ,x is even,y-z-w=odd........ (2).
  from 1, even-y-z=even,even-(y+z)=even,so it's clear that y+z=even,
  possible condition will be y,z=even or y,z=odd
  now from 2, it is clear that w never be even ,
  i.e. 2 satisfies the condition even-even-odd=odd,
  therefore even=x,y,z and w=odd
  
• 10 years agoHelpfull: Yes(0) No(0)
• if x is even then y&z must be even or odd
  if y&z are even then w must be odd
  if y&z are odd then also w must be odd
  
  so w must be odd
  
• 10 years agoHelpfull: Yes(0) No(0)