What three numbers have an average of 439?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 439. This means if we add these three numbers together and divide by 3, we should get 439.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 439 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 439 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1317

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1317.

Solution 1:

439, 439, 439

Verification:

(439 + 439 + 439) / 3 = 1317 / 3 ≈ 439

This solution is correct!

Solution 2:

439, 439, 439

Verification:

(439 + 439 + 439) / 3 = 1317 / 3 ≈ 439

This solution is correct!

Solution 3:

400, 324, 593

Verification:

(400 + 324 + 593) / 3 = 1317 / 3 ≈ 439

This solution is correct!

Solution 4:

637, 417, 263

Verification:

(637 + 417 + 263) / 3 = 1317 / 3 ≈ 439

This solution is correct!

Solution 5:

578, 289, 450

Verification:

(578 + 289 + 450) / 3 = 1317 / 3 ≈ 439

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 = 478What three numbers have an average of 478 ?
(X+Y+Z) / 3 = 900What three numbers have an average of 900 ?
(X+Y+Z) / 3 = 199What three numbers have an average of 199 ?

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