The mean of three numbers is 10 more than the least of the numbers and 15 less than the greatest of the three. If the median of the three numbers is 5, then the sum of the three is :

• Median is when the given numbers are arranged in ascending order, the middle one. Let the numbers are x, 5, y where x is the least and y is greatest.
  given that (x+5+z)/3=x+10
  and (x+5+z)/3=y-15
  Solving we get x = 0 and y = 25.
  So sum of the numbers = 0 + 5 + 25 = 30
• 5 years agoHelpfull: Yes(3) No(2)
• (x+5+z)/3 = x + 10
  => z - 2x = 25 ...........(1)
  (x+5+z)/3 = z - 15
  => -2z + x = -50 ........(2)
  
  adding (1) and (2) we get:
  z - 2x = 25 ...x2
  -2z + x = -50 ...x1
  --------------------------
  2z - 4x = 50
  -2z + x = -50
  --------------------------
  0 - 3x = 0
  x = 0
  
  Sub x = 0 in eq (1) or (2)
  z - 2x = 25
  => z - 0 = 25
  => z = 25
  therefore, sum of the three nos. are 0 + 5 + 25 = 30(Ans.)
• 5 years agoHelpfull: Yes(3) No(1)