What three numbers have an average of 228?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 228. This means if we add these three numbers together and divide by 3, we should get 228.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 228 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 228 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 684

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 684.

Solution 1:

228, 228, 228

Verification:

(228 + 228 + 228) / 3 = 684 / 3 ≈ 228

This solution is correct!

Solution 2:

228, 228, 228

Verification:

(228 + 228 + 228) / 3 = 684 / 3 ≈ 228

This solution is correct!

Solution 3:

338, 63, 283

Verification:

(338 + 63 + 283) / 3 = 684 / 3 ≈ 228

This solution is correct!

Solution 4:

453, 43, 188

Verification:

(453 + 43 + 188) / 3 = 684 / 3 ≈ 228

This solution is correct!

Solution 5:

299, 362, 23

Verification:

(299 + 362 + 23) / 3 = 684 / 3 ≈ 228

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 = 201What three numbers have an average of 201 ?
(X+Y+Z) / 3 = 17What three numbers have an average of 17 ?
(X+Y+Z) / 3 = 431What three numbers have an average of 431 ?

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