What three numbers have an average of 593?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 593. This means if we add these three numbers together and divide by 3, we should get 593.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 593 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 593 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1779

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1779.

Solution 1:

593, 593, 593

Verification:

(593 + 593 + 593) / 3 = 1779 / 3 ≈ 593

This solution is correct!

Solution 2:

593, 593, 593

Verification:

(593 + 593 + 593) / 3 = 1779 / 3 ≈ 593

This solution is correct!

Solution 3:

1293, 19, 467

Verification:

(1293 + 19 + 467) / 3 = 1779 / 3 ≈ 593

This solution is correct!

Solution 4:

737, 474, 568

Verification:

(737 + 474 + 568) / 3 = 1779 / 3 ≈ 593

This solution is correct!

Solution 5:

1081, 635, 63

Verification:

(1081 + 635 + 63) / 3 = 1779 / 3 ≈ 593

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 = 8What three numbers have an average of 8 ?
(X+Y+Z) / 3 = 999What three numbers have an average of 999 ?
(X+Y+Z) / 3 = 87What three numbers have an average of 87 ?

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