What three numbers have an average of 8?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 8. This means if we add these three numbers together and divide by 3, we should get 8.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 8 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 8 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 24

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 24.

Solution 1:

8, 8, 8

Verification:

(8 + 8 + 8) / 3 = 24 / 3 ≈ 8

This solution is correct!

Solution 2:

8, 8, 8

Verification:

(8 + 8 + 8) / 3 = 24 / 3 ≈ 8

This solution is correct!

Solution 3:

14, 3, 7

Verification:

(14 + 3 + 7) / 3 = 24 / 3 ≈ 8

This solution is correct!

Solution 4:

15, 4, 5

Verification:

(15 + 4 + 5) / 3 = 24 / 3 ≈ 8

This solution is correct!

Solution 5:

18, 4, 2

Verification:

(18 + 4 + 2) / 3 = 24 / 3 ≈ 8

This solution is correct!

Explanation:

As you can see, there are many possible solutions. We can find more by:

Remember:

Try it out:

(X+Y+Z) / 3 = 737What three numbers have an average of 737 ?
(X+Y+Z) / 3 = 998What three numbers have an average of 998 ?
(X+Y+Z) / 3 = 577What three numbers have an average of 577 ?

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