Three of four numbers have a sum of 22 of the average of the four numbers is 8, what is the fourth number?

Solution:

Let the four numbers be a, b, c and d.

According to the given information, we have two equations:

⇒ Average of a, b, c and d is 8: (a + b + c + d) / 4 = 8  (equation 1)

⇒ Sum of a, b, c is 22: (a + b + c) = 22  (equation 2) 

We need to determine the value of d.

We can rewrite equation 1 as (a + b + c + d) = 32.

Now, substitute the value of equation 2 into equation 1:

⇒ (a + b + c) + d = 32

⇒ 22 + d = 32

⇒ d = 10

Therefore, the fourth number is 10.

Three of four numbers have a sum of 22 of the average of the four numbers is 8, what is the fourth number?

Summary:

Three of four numbers have a sum of 22 of the average of the four numbers is 8, the fourth number is 10.