What three numbers have an average of 855?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 855. This means if we add these three numbers together and divide by 3, we should get 855.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 855 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 855 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2565

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2565.

Solution 1:

855, 855, 855

Verification:

(855 + 855 + 855) / 3 = 2565 / 3 ≈ 855

This solution is correct!

Solution 2:

855, 855, 855

Verification:

(855 + 855 + 855) / 3 = 2565 / 3 ≈ 855

This solution is correct!

Solution 3:

712, 459, 1394

Verification:

(712 + 459 + 1394) / 3 = 2565 / 3 ≈ 855

This solution is correct!

Solution 4:

1135, 1073, 357

Verification:

(1135 + 1073 + 357) / 3 = 2565 / 3 ≈ 855

This solution is correct!

Solution 5:

295, 1006, 1264

Verification:

(295 + 1006 + 1264) / 3 = 2565 / 3 ≈ 855

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 = 833What three numbers have an average of 833 ?
(X+Y+Z) / 3 = 803What three numbers have an average of 803 ?
(X+Y+Z) / 3 = 938What three numbers have an average of 938 ?

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