What three numbers have an average of 868?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 868. This means if we add these three numbers together and divide by 3, we should get 868.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 868 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 868 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2604

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2604.

Solution 1:

868, 868, 868

Verification:

(868 + 868 + 868) / 3 = 2604 / 3 ≈ 868

This solution is correct!

Solution 2:

868, 868, 868

Verification:

(868 + 868 + 868) / 3 = 2604 / 3 ≈ 868

This solution is correct!

Solution 3:

355, 1995, 254

Verification:

(355 + 1995 + 254) / 3 = 2604 / 3 ≈ 868

This solution is correct!

Solution 4:

208, 114, 2282

Verification:

(208 + 114 + 2282) / 3 = 2604 / 3 ≈ 868

This solution is correct!

Solution 5:

2174, 393, 37

Verification:

(2174 + 393 + 37) / 3 = 2604 / 3 ≈ 868

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 = 543What three numbers have an average of 543 ?
(X+Y+Z) / 3 = 662What three numbers have an average of 662 ?
(X+Y+Z) / 3 = 639What three numbers have an average of 639 ?

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