What three numbers have an average of 583?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 583. This means if we add these three numbers together and divide by 3, we should get 583.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 583 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 583 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1749

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1749.

Solution 1:

583, 583, 583

Verification:

(583 + 583 + 583) / 3 = 1749 / 3 ≈ 583

This solution is correct!

Solution 2:

583, 583, 583

Verification:

(583 + 583 + 583) / 3 = 1749 / 3 ≈ 583

This solution is correct!

Solution 3:

75, 926, 748

Verification:

(75 + 926 + 748) / 3 = 1749 / 3 ≈ 583

This solution is correct!

Solution 4:

541, 410, 798

Verification:

(541 + 410 + 798) / 3 = 1749 / 3 ≈ 583

This solution is correct!

Solution 5:

996, 207, 546

Verification:

(996 + 207 + 546) / 3 = 1749 / 3 ≈ 583

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 = 824What three numbers have an average of 824 ?
(X+Y+Z) / 3 = 235What three numbers have an average of 235 ?
(X+Y+Z) / 3 = 787What three numbers have an average of 787 ?

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