What three numbers have an average of 592?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 592. This means if we add these three numbers together and divide by 3, we should get 592.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 592 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 592 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1776

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1776.

Solution 1:

592, 592, 592

Verification:

(592 + 592 + 592) / 3 = 1776 / 3 ≈ 592

This solution is correct!

Solution 2:

592, 592, 592

Verification:

(592 + 592 + 592) / 3 = 1776 / 3 ≈ 592

This solution is correct!

Solution 3:

1584, 183, 9

Verification:

(1584 + 183 + 9) / 3 = 1776 / 3 ≈ 592

This solution is correct!

Solution 4:

1705, 41, 30

Verification:

(1705 + 41 + 30) / 3 = 1776 / 3 ≈ 592

This solution is correct!

Solution 5:

1665, 96, 15

Verification:

(1665 + 96 + 15) / 3 = 1776 / 3 ≈ 592

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 = 633What three numbers have an average of 633 ?
(X+Y+Z) / 3 = 45What three numbers have an average of 45 ?
(X+Y+Z) / 3 = 44What three numbers have an average of 44 ?

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