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:

471, 941, 367

Verification:

(471 + 941 + 367) / 3 = 1779 / 3 ≈ 593

This solution is correct!

Solution 4:

1704, 26, 49

Verification:

(1704 + 26 + 49) / 3 = 1779 / 3 ≈ 593

This solution is correct!

Solution 5:

1083, 388, 308

Verification:

(1083 + 388 + 308) / 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 = 589What three numbers have an average of 589 ?
(X+Y+Z) / 3 = 989What three numbers have an average of 989 ?
(X+Y+Z) / 3 = 592What three numbers have an average of 592 ?

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