What three numbers have an average of 11?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 11. This means if we add these three numbers together and divide by 3, we should get 11.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 11 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 11 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 33

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 33.

Solution 1:

11, 11, 11

Verification:

(11 + 11 + 11) / 3 = 33 / 3 ≈ 11

This solution is correct!

Solution 2:

11, 11, 11

Verification:

(11 + 11 + 11) / 3 = 33 / 3 ≈ 11

This solution is correct!

Solution 3:

1, 10, 22

Verification:

(1 + 10 + 22) / 3 = 33 / 3 ≈ 11

This solution is correct!

Solution 4:

11, 13, 9

Verification:

(11 + 13 + 9) / 3 = 33 / 3 ≈ 11

This solution is correct!

Solution 5:

15, 17, 1

Verification:

(15 + 17 + 1) / 3 = 33 / 3 ≈ 11

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 = 971What three numbers have an average of 971 ?
(X+Y+Z) / 3 = 584What three numbers have an average of 584 ?
(X+Y+Z) / 3 = 127What three numbers have an average of 127 ?

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