What three numbers have an average of 944?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 944. This means if we add these three numbers together and divide by 3, we should get 944.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 944 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 944 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2832

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2832.

Solution 1:

944, 944, 944

Verification:

(944 + 944 + 944) / 3 = 2832 / 3 ≈ 944

This solution is correct!

Solution 2:

944, 944, 944

Verification:

(944 + 944 + 944) / 3 = 2832 / 3 ≈ 944

This solution is correct!

Solution 3:

465, 837, 1530

Verification:

(465 + 837 + 1530) / 3 = 2832 / 3 ≈ 944

This solution is correct!

Solution 4:

543, 1610, 679

Verification:

(543 + 1610 + 679) / 3 = 2832 / 3 ≈ 944

This solution is correct!

Solution 5:

714, 1265, 853

Verification:

(714 + 1265 + 853) / 3 = 2832 / 3 ≈ 944

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 = 286What three numbers have an average of 286 ?
(X+Y+Z) / 3 = 769What three numbers have an average of 769 ?
(X+Y+Z) / 3 = 720What three numbers have an average of 720 ?

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