What three numbers have an average of 920?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 920. This means if we add these three numbers together and divide by 3, we should get 920.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 920 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 920 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2760

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2760.

Solution 1:

920, 920, 920

Verification:

(920 + 920 + 920) / 3 = 2760 / 3 ≈ 920

This solution is correct!

Solution 2:

920, 920, 920

Verification:

(920 + 920 + 920) / 3 = 2760 / 3 ≈ 920

This solution is correct!

Solution 3:

1638, 400, 722

Verification:

(1638 + 400 + 722) / 3 = 2760 / 3 ≈ 920

This solution is correct!

Solution 4:

1459, 468, 833

Verification:

(1459 + 468 + 833) / 3 = 2760 / 3 ≈ 920

This solution is correct!

Solution 5:

948, 1015, 797

Verification:

(948 + 1015 + 797) / 3 = 2760 / 3 ≈ 920

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 = 719What three numbers have an average of 719 ?
(X+Y+Z) / 3 = 910What three numbers have an average of 910 ?
(X+Y+Z) / 3 = 506What three numbers have an average of 506 ?

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