There are 3 numbers x,y,z.the mean is m, median is 5, m is 10 more than the smallest number and 15 less than the biggest number. what is x+y+z

• we don't need individual values of x,y,z
  so let us consider x be smaller and z is larger
  so y is median=5
  mean=(x+y+z)/3=(x+z+5)/3
  mean=x+10 and z-15
  =>(x+z+5)/3=x+10 | (x+z+5)/3=z-45
  =>x+z+5=3x+30 | x+z+5=3z-45
  =>2x-z+25=0 ---(1) | 2z-x-50=0 ---(2)
  
  from the addition of two equations (1)+(2)
  =>(2x-z+25)+(2z-x-50)=0
  =>x+z-25=0
  =>x+z=25
  so x+y+z=(x+z)+y=25+5=30....
• 12 years agoHelpfull: Yes(38) No(1)
• 3m=x+y+z
  3m=m-10+5+m+15=>m=10 them 3m=x+y+z=30
• 12 years agoHelpfull: Yes(13) No(1)