What three numbers have an average of 756?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 756. This means if we add these three numbers together and divide by 3, we should get 756.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 756 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 756 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2268

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2268.

Solution 1:

756, 756, 756

Verification:

(756 + 756 + 756) / 3 = 2268 / 3 ≈ 756

This solution is correct!

Solution 2:

756, 756, 756

Verification:

(756 + 756 + 756) / 3 = 2268 / 3 ≈ 756

This solution is correct!

Solution 3:

148, 1038, 1082

Verification:

(148 + 1038 + 1082) / 3 = 2268 / 3 ≈ 756

This solution is correct!

Solution 4:

1447, 495, 326

Verification:

(1447 + 495 + 326) / 3 = 2268 / 3 ≈ 756

This solution is correct!

Solution 5:

875, 900, 493

Verification:

(875 + 900 + 493) / 3 = 2268 / 3 ≈ 756

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 = 91What three numbers have an average of 91 ?
(X+Y+Z) / 3 = 123What three numbers have an average of 123 ?
(X+Y+Z) / 3 = 188What three numbers have an average of 188 ?

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