What three numbers have an average of 384?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 384. This means if we add these three numbers together and divide by 3, we should get 384.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 384 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 384 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1152

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1152.

Solution 1:

384, 384, 384

Verification:

(384 + 384 + 384) / 3 = 1152 / 3 ≈ 384

This solution is correct!

Solution 2:

384, 384, 384

Verification:

(384 + 384 + 384) / 3 = 1152 / 3 ≈ 384

This solution is correct!

Solution 3:

690, 41, 421

Verification:

(690 + 41 + 421) / 3 = 1152 / 3 ≈ 384

This solution is correct!

Solution 4:

862, 92, 198

Verification:

(862 + 92 + 198) / 3 = 1152 / 3 ≈ 384

This solution is correct!

Solution 5:

751, 199, 202

Verification:

(751 + 199 + 202) / 3 = 1152 / 3 ≈ 384

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 = 224What three numbers have an average of 224 ?
(X+Y+Z) / 3 = 295What three numbers have an average of 295 ?
(X+Y+Z) / 3 = 564What three numbers have an average of 564 ?

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