What three numbers have an average of 9?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 9. This means if we add these three numbers together and divide by 3, we should get 9.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 9 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 9 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 27

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 27.

Solution 1:

9, 9, 9

Verification:

(9 + 9 + 9) / 3 = 27 / 3 ≈ 9

This solution is correct!

Solution 2:

9, 9, 9

Verification:

(9 + 9 + 9) / 3 = 27 / 3 ≈ 9

This solution is correct!

Solution 3:

16, 6, 5

Verification:

(16 + 6 + 5) / 3 = 27 / 3 ≈ 9

This solution is correct!

Solution 4:

5, 3, 19

Verification:

(5 + 3 + 19) / 3 = 27 / 3 ≈ 9

This solution is correct!

Solution 5:

5, 7, 15

Verification:

(5 + 7 + 15) / 3 = 27 / 3 ≈ 9

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 = 270What three numbers have an average of 270 ?
(X+Y+Z) / 3 = 588What three numbers have an average of 588 ?
(X+Y+Z) / 3 = 553What three numbers have an average of 553 ?

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