What three numbers have an average of 447?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 447. This means if we add these three numbers together and divide by 3, we should get 447.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 447 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 447 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1341

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1341.

Solution 1:

447, 447, 447

Verification:

(447 + 447 + 447) / 3 = 1341 / 3 ≈ 447

This solution is correct!

Solution 2:

447, 447, 447

Verification:

(447 + 447 + 447) / 3 = 1341 / 3 ≈ 447

This solution is correct!

Solution 3:

1306, 24, 11

Verification:

(1306 + 24 + 11) / 3 = 1341 / 3 ≈ 447

This solution is correct!

Solution 4:

936, 131, 274

Verification:

(936 + 131 + 274) / 3 = 1341 / 3 ≈ 447

This solution is correct!

Solution 5:

545, 567, 229

Verification:

(545 + 567 + 229) / 3 = 1341 / 3 ≈ 447

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 = 180What three numbers have an average of 180 ?
(X+Y+Z) / 3 = 507What three numbers have an average of 507 ?
(X+Y+Z) / 3 = 950What three numbers have an average of 950 ?

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