What three numbers have an average of 192?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 192. This means if we add these three numbers together and divide by 3, we should get 192.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 192 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 192 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 576

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 576.

Solution 1:

192, 192, 192

Verification:

(192 + 192 + 192) / 3 = 576 / 3 ≈ 192

This solution is correct!

Solution 2:

192, 192, 192

Verification:

(192 + 192 + 192) / 3 = 576 / 3 ≈ 192

This solution is correct!

Solution 3:

448, 29, 99

Verification:

(448 + 29 + 99) / 3 = 576 / 3 ≈ 192

This solution is correct!

Solution 4:

197, 95, 284

Verification:

(197 + 95 + 284) / 3 = 576 / 3 ≈ 192

This solution is correct!

Solution 5:

20, 297, 259

Verification:

(20 + 297 + 259) / 3 = 576 / 3 ≈ 192

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 = 645What three numbers have an average of 645 ?
(X+Y+Z) / 3 = 985What three numbers have an average of 985 ?
(X+Y+Z) / 3 = 266What three numbers have an average of 266 ?

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