What three numbers have an average of 594?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 594. This means if we add these three numbers together and divide by 3, we should get 594.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 594 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 594 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1782

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1782.

Solution 1:

594, 594, 594

Verification:

(594 + 594 + 594) / 3 = 1782 / 3 ≈ 594

This solution is correct!

Solution 2:

594, 594, 594

Verification:

(594 + 594 + 594) / 3 = 1782 / 3 ≈ 594

This solution is correct!

Solution 3:

1038, 639, 105

Verification:

(1038 + 639 + 105) / 3 = 1782 / 3 ≈ 594

This solution is correct!

Solution 4:

666, 571, 545

Verification:

(666 + 571 + 545) / 3 = 1782 / 3 ≈ 594

This solution is correct!

Solution 5:

773, 133, 876

Verification:

(773 + 133 + 876) / 3 = 1782 / 3 ≈ 594

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 = 524What three numbers have an average of 524 ?
(X+Y+Z) / 3 = 781What three numbers have an average of 781 ?
(X+Y+Z) / 3 = 408What three numbers have an average of 408 ?

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