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
