What three numbers have an average of 856?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 856. This means if we add these three numbers together and divide by 3, we should get 856.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 856 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 856 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2568

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2568.

Solution 1:

856, 856, 856

Verification:

(856 + 856 + 856) / 3 = 2568 / 3 ≈ 856

This solution is correct!

Solution 2:

856, 856, 856

Verification:

(856 + 856 + 856) / 3 = 2568 / 3 ≈ 856

This solution is correct!

Solution 3:

400, 1287, 881

Verification:

(400 + 1287 + 881) / 3 = 2568 / 3 ≈ 856

This solution is correct!

Solution 4:

2044, 125, 399

Verification:

(2044 + 125 + 399) / 3 = 2568 / 3 ≈ 856

This solution is correct!

Solution 5:

2248, 101, 219

Verification:

(2248 + 101 + 219) / 3 = 2568 / 3 ≈ 856

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 = 32What three numbers have an average of 32 ?
(X+Y+Z) / 3 = 145What three numbers have an average of 145 ?
(X+Y+Z) / 3 = 592What three numbers have an average of 592 ?

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