What three numbers have an average of 558?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 558. This means if we add these three numbers together and divide by 3, we should get 558.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 558 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 558 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1674

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1674.

Solution 1:

558, 558, 558

Verification:

(558 + 558 + 558) / 3 = 1674 / 3 ≈ 558

This solution is correct!

Solution 2:

558, 558, 558

Verification:

(558 + 558 + 558) / 3 = 1674 / 3 ≈ 558

This solution is correct!

Solution 3:

1055, 458, 161

Verification:

(1055 + 458 + 161) / 3 = 1674 / 3 ≈ 558

This solution is correct!

Solution 4:

1562, 38, 74

Verification:

(1562 + 38 + 74) / 3 = 1674 / 3 ≈ 558

This solution is correct!

Solution 5:

1438, 150, 86

Verification:

(1438 + 150 + 86) / 3 = 1674 / 3 ≈ 558

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 = 756What three numbers have an average of 756 ?
(X+Y+Z) / 3 = 163What three numbers have an average of 163 ?
(X+Y+Z) / 3 = 734What three numbers have an average of 734 ?

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