What three numbers have an average of 438?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 438. This means if we add these three numbers together and divide by 3, we should get 438.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 438 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 438 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1314

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1314.

Solution 1:

438, 438, 438

Verification:

(438 + 438 + 438) / 3 = 1314 / 3 ≈ 438

This solution is correct!

Solution 2:

438, 438, 438

Verification:

(438 + 438 + 438) / 3 = 1314 / 3 ≈ 438

This solution is correct!

Solution 3:

564, 251, 499

Verification:

(564 + 251 + 499) / 3 = 1314 / 3 ≈ 438

This solution is correct!

Solution 4:

606, 263, 445

Verification:

(606 + 263 + 445) / 3 = 1314 / 3 ≈ 438

This solution is correct!

Solution 5:

1177, 15, 122

Verification:

(1177 + 15 + 122) / 3 = 1314 / 3 ≈ 438

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 = 774What three numbers have an average of 774 ?
(X+Y+Z) / 3 = 980What three numbers have an average of 980 ?
(X+Y+Z) / 3 = 668What three numbers have an average of 668 ?

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