What three numbers have an average of 866?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 866. This means if we add these three numbers together and divide by 3, we should get 866.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 866 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 866 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2598

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2598.

Solution 1:

866, 866, 866

Verification:

(866 + 866 + 866) / 3 = 2598 / 3 ≈ 866

This solution is correct!

Solution 2:

866, 866, 866

Verification:

(866 + 866 + 866) / 3 = 2598 / 3 ≈ 866

This solution is correct!

Solution 3:

1970, 60, 568

Verification:

(1970 + 60 + 568) / 3 = 2598 / 3 ≈ 866

This solution is correct!

Solution 4:

568, 408, 1622

Verification:

(568 + 408 + 1622) / 3 = 2598 / 3 ≈ 866

This solution is correct!

Solution 5:

1307, 1134, 157

Verification:

(1307 + 1134 + 157) / 3 = 2598 / 3 ≈ 866

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 = 284What three numbers have an average of 284 ?
(X+Y+Z) / 3 = 855What three numbers have an average of 855 ?
(X+Y+Z) / 3 = 216What three numbers have an average of 216 ?

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