What three numbers have an average of 589?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 589. This means if we add these three numbers together and divide by 3, we should get 589.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 589 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 589 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1767

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1767.

Solution 1:

589, 589, 589

Verification:

(589 + 589 + 589) / 3 = 1767 / 3 ≈ 589

This solution is correct!

Solution 2:

589, 589, 589

Verification:

(589 + 589 + 589) / 3 = 1767 / 3 ≈ 589

This solution is correct!

Solution 3:

337, 685, 745

Verification:

(337 + 685 + 745) / 3 = 1767 / 3 ≈ 589

This solution is correct!

Solution 4:

1055, 50, 662

Verification:

(1055 + 50 + 662) / 3 = 1767 / 3 ≈ 589

This solution is correct!

Solution 5:

1402, 118, 247

Verification:

(1402 + 118 + 247) / 3 = 1767 / 3 ≈ 589

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 = 351What three numbers have an average of 351 ?
(X+Y+Z) / 3 = 344What three numbers have an average of 344 ?
(X+Y+Z) / 3 = 692What three numbers have an average of 692 ?

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