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:

464, 1131, 1009

Verification:

(464 + 1131 + 1009) / 3 = 2604 / 3 ≈ 868

This solution is correct!

Solution 4:

252, 1128, 1224

Verification:

(252 + 1128 + 1224) / 3 = 2604 / 3 ≈ 868

This solution is correct!

Solution 5:

664, 1747, 193

Verification:

(664 + 1747 + 193) / 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 = 941What three numbers have an average of 941 ?
(X+Y+Z) / 3 = 580What three numbers have an average of 580 ?
(X+Y+Z) / 3 = 413What three numbers have an average of 413 ?

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