What three numbers have an average of 572?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 572. This means if we add these three numbers together and divide by 3, we should get 572.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 572 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 572 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1716

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1716.

Solution 1:

572, 572, 572

Verification:

(572 + 572 + 572) / 3 = 1716 / 3 ≈ 572

This solution is correct!

Solution 2:

572, 572, 572

Verification:

(572 + 572 + 572) / 3 = 1716 / 3 ≈ 572

This solution is correct!

Solution 3:

1201, 389, 126

Verification:

(1201 + 389 + 126) / 3 = 1716 / 3 ≈ 572

This solution is correct!

Solution 4:

1446, 86, 184

Verification:

(1446 + 86 + 184) / 3 = 1716 / 3 ≈ 572

This solution is correct!

Solution 5:

555, 840, 321

Verification:

(555 + 840 + 321) / 3 = 1716 / 3 ≈ 572

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 = 354What three numbers have an average of 354 ?
(X+Y+Z) / 3 = 569What three numbers have an average of 569 ?
(X+Y+Z) / 3 = 240What three numbers have an average of 240 ?

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