What three numbers have an average of 928?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 928. This means if we add these three numbers together and divide by 3, we should get 928.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 928 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 928 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2784

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2784.

Solution 1:

928, 928, 928

Verification:

(928 + 928 + 928) / 3 = 2784 / 3 ≈ 928

This solution is correct!

Solution 2:

928, 928, 928

Verification:

(928 + 928 + 928) / 3 = 2784 / 3 ≈ 928

This solution is correct!

Solution 3:

1006, 1433, 345

Verification:

(1006 + 1433 + 345) / 3 = 2784 / 3 ≈ 928

This solution is correct!

Solution 4:

1686, 391, 707

Verification:

(1686 + 391 + 707) / 3 = 2784 / 3 ≈ 928

This solution is correct!

Solution 5:

2300, 357, 127

Verification:

(2300 + 357 + 127) / 3 = 2784 / 3 ≈ 928

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 = 570What three numbers have an average of 570 ?
(X+Y+Z) / 3 = 558What three numbers have an average of 558 ?
(X+Y+Z) / 3 = 702What three numbers have an average of 702 ?

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