What three numbers have an average of 444?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 444. This means if we add these three numbers together and divide by 3, we should get 444.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 444 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 444 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1332

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1332.

Solution 1:

444, 444, 444

Verification:

(444 + 444 + 444) / 3 = 1332 / 3 ≈ 444

This solution is correct!

Solution 2:

444, 444, 444

Verification:

(444 + 444 + 444) / 3 = 1332 / 3 ≈ 444

This solution is correct!

Solution 3:

1214, 86, 32

Verification:

(1214 + 86 + 32) / 3 = 1332 / 3 ≈ 444

This solution is correct!

Solution 4:

765, 163, 404

Verification:

(765 + 163 + 404) / 3 = 1332 / 3 ≈ 444

This solution is correct!

Solution 5:

121, 882, 329

Verification:

(121 + 882 + 329) / 3 = 1332 / 3 ≈ 444

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 = 466What three numbers have an average of 466 ?
(X+Y+Z) / 3 = 173What three numbers have an average of 173 ?
(X+Y+Z) / 3 = 218What three numbers have an average of 218 ?

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