What three numbers have an average of 392?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 392. This means if we add these three numbers together and divide by 3, we should get 392.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 392 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 392 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1176

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1176.

Solution 1:

392, 392, 392

Verification:

(392 + 392 + 392) / 3 = 1176 / 3 ≈ 392

This solution is correct!

Solution 2:

392, 392, 392

Verification:

(392 + 392 + 392) / 3 = 1176 / 3 ≈ 392

This solution is correct!

Solution 3:

353, 193, 630

Verification:

(353 + 193 + 630) / 3 = 1176 / 3 ≈ 392

This solution is correct!

Solution 4:

123, 155, 898

Verification:

(123 + 155 + 898) / 3 = 1176 / 3 ≈ 392

This solution is correct!

Solution 5:

522, 514, 140

Verification:

(522 + 514 + 140) / 3 = 1176 / 3 ≈ 392

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 = 182What three numbers have an average of 182 ?
(X+Y+Z) / 3 = 650What three numbers have an average of 650 ?
(X+Y+Z) / 3 = 498What three numbers have an average of 498 ?

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