# Three of four numbers have a sum of 22 of the average of the four numbers is 8. Find the fourth number.

Sums and averages are two of the most important concepts in mathematics. The average of certain numerical data helps us approximate and predict subsequent values of upcoming data.

## Answer: Keeping the given conditions in mind, the fourth number is 10.

Let's understand the solution.

**Explanation:**

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

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

⇒ (a + b + c) + d = 32

⇒ 22 + d = 32

⇒ d = 10