Mean of 3 numbers is 10 more than the least of the numbers and 15 less than greatest of the 3. If the median of 3 numbers is 5, Find the sum of the 3 numbers?

• let three numbers be x,y,z and arranged in value order.
  Given median is 5
  so y=5.
  mean=(x+5+z)/3=x+10 and (x+5+z)/3=z-15.
  
  solving equation we get
  x=0,z=25
  sum=0+5+25=30
• 9 years agoHelpfull: Yes(26) No(1)
• suppose three numbers be x,y,z
  acc. to ques median is 5
  so y=5(because median is value of (n+1)th term if n is odd after arranged them in ascending or descending order)
  where n is no. of element here n=3
  mean=(x+5+z)/3=x+10 and (x+5+z)/3=z-15.
  
  
  on solving we get
  x=0,z=25
  So,SUM=0+5+25=30
• 9 years agoHelpfull: Yes(4) No(0)
• let three numbers be x,y,z and arranged in value order.
  Given median is 5
  so y=5.
  mean=(x+5+z)/3=x+10 and (x+5+z)/3=z-15.
  
  solving equation we get
  x=0,z=25
  
  
  sum=30
• 9 years agoHelpfull: Yes(2) No(0)
• let three no. be a,b,c
  mean x
  where a smallest and c largest
  accrdng to qustn
  x/3=10+a;
  x/3=c-15;
  10+a= c-15;
  25 =c+a;
  median is 5 (given)
  hence 5 can be any no.
  a+b+c=25+5
  =30 answr
  
• 9 years agoHelpfull: Yes(2) No(0)
• three nos are 0 5 and 25... and their sum is 30
• 9 years agoHelpfull: Yes(1) No(1)
• Let the mean of the three numbers be x.
  
  Now as per the criteria mentioned in the problem,
  
  the least number must be = x-10
  
  the greatest number must be = x+15
  
  now the median value is given which is the middle number if the set is sorted which is = 5
  
  Therefore , we can say,
  
  ((x-10)+5+(x+15))/3=x
  
  solving we get, x=10
  
  Therefore, the sum is 30.
  
• 9 years agoHelpfull: Yes(1) No(0)