What three numbers have an average of 229?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 229. This means if we add these three numbers together and divide by 3, we should get 229.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 229 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 229 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 687

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 687.

Solution 1:

229, 229, 229

Verification:

(229 + 229 + 229) / 3 = 687 / 3 ≈ 229

This solution is correct!

Solution 2:

229, 229, 229

Verification:

(229 + 229 + 229) / 3 = 687 / 3 ≈ 229

This solution is correct!

Solution 3:

325, 203, 159

Verification:

(325 + 203 + 159) / 3 = 687 / 3 ≈ 229

This solution is correct!

Solution 4:

630, 13, 44

Verification:

(630 + 13 + 44) / 3 = 687 / 3 ≈ 229

This solution is correct!

Solution 5:

10, 107, 570

Verification:

(10 + 107 + 570) / 3 = 687 / 3 ≈ 229

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 = 29What three numbers have an average of 29 ?
(X+Y+Z) / 3 = 982What three numbers have an average of 982 ?
(X+Y+Z) / 3 = 519What three numbers have an average of 519 ?

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