What three numbers have an average of 531?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 531. This means if we add these three numbers together and divide by 3, we should get 531.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 531 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 531 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1593

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1593.

Solution 1:

531, 531, 531

Verification:

(531 + 531 + 531) / 3 = 1593 / 3 ≈ 531

This solution is correct!

Solution 2:

531, 531, 531

Verification:

(531 + 531 + 531) / 3 = 1593 / 3 ≈ 531

This solution is correct!

Solution 3:

738, 608, 247

Verification:

(738 + 608 + 247) / 3 = 1593 / 3 ≈ 531

This solution is correct!

Solution 4:

1192, 173, 228

Verification:

(1192 + 173 + 228) / 3 = 1593 / 3 ≈ 531

This solution is correct!

Solution 5:

515, 1038, 40

Verification:

(515 + 1038 + 40) / 3 = 1593 / 3 ≈ 531

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 = 31What three numbers have an average of 31 ?
(X+Y+Z) / 3 = 12What three numbers have an average of 12 ?
(X+Y+Z) / 3 = 733What three numbers have an average of 733 ?

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