What three numbers have an average of 571?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 571. This means if we add these three numbers together and divide by 3, we should get 571.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 571 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 571 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1713

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1713.

Solution 1:

571, 571, 571

Verification:

(571 + 571 + 571) / 3 = 1713 / 3 ≈ 571

This solution is correct!

Solution 2:

571, 571, 571

Verification:

(571 + 571 + 571) / 3 = 1713 / 3 ≈ 571

This solution is correct!

Solution 3:

1242, 206, 265

Verification:

(1242 + 206 + 265) / 3 = 1713 / 3 ≈ 571

This solution is correct!

Solution 4:

1389, 219, 105

Verification:

(1389 + 219 + 105) / 3 = 1713 / 3 ≈ 571

This solution is correct!

Solution 5:

1194, 150, 369

Verification:

(1194 + 150 + 369) / 3 = 1713 / 3 ≈ 571

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 = 555What three numbers have an average of 555 ?
(X+Y+Z) / 3 = 431What three numbers have an average of 431 ?
(X+Y+Z) / 3 = 477What three numbers have an average of 477 ?

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