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:

643, 99, 575

Verification:

(643 + 99 + 575) / 3 = 1317 / 3 ≈ 439

This solution is correct!

Solution 4:

503, 539, 275

Verification:

(503 + 539 + 275) / 3 = 1317 / 3 ≈ 439

This solution is correct!

Solution 5:

761, 78, 478

Verification:

(761 + 78 + 478) / 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 = 65What three numbers have an average of 65 ?
(X+Y+Z) / 3 = 758What three numbers have an average of 758 ?
(X+Y+Z) / 3 = 47What three numbers have an average of 47 ?

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