Answers

1. If the average of eleven numbers is 8 if twelfth number is added to these numbers the average of all twelve numbers is now 11.

   The twelfth number is 44.

   According to the question

   Let x represents the sum of the eleven numbers and y be the twelfth number.

   The average of the eleven numbers is 8 means:

   x/11 = 8

   Multiply both sides by 11

   (x/11) × 11 = 8  × 11

   x = 88

   The average of all twelve numbers is 11 means:

   (x + y)/12 = 11

   Substitute x = 88 into the last equation

   (88 + y)/12 = 11

   Multiply both sides by 12

   [(88 + y)/12] × 12 = 11 × 12

   (88 + y) = 132

   y = 132 – 88

   y = 44

   Hence,

   If the average of eleven numbers is 8 if twelfth number is added to these numbers the average of all twelve numbers is now 11.

   The twelfth number is 44.

   Find out more information about average here

   https://brainly.com/question/19862658

   #SPJ4

   Reply