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:

152, 1143, 37

Verification:

(152 + 1143 + 37) / 3 = 1332 / 3 ≈ 444

This solution is correct!

Solution 4:

5, 200, 1127

Verification:

(5 + 200 + 1127) / 3 = 1332 / 3 ≈ 444

This solution is correct!

Solution 5:

712, 281, 339

Verification:

(712 + 281 + 339) / 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 = 89What three numbers have an average of 89 ?
(X+Y+Z) / 3 = 980What three numbers have an average of 980 ?
(X+Y+Z) / 3 = 984What three numbers have an average of 984 ?

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