What three numbers have an average of 368?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 368. This means if we add these three numbers together and divide by 3, we should get 368.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 368 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 368 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1104

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1104.

Solution 1:

368, 368, 368

Verification:

(368 + 368 + 368) / 3 = 1104 / 3 ≈ 368

This solution is correct!

Solution 2:

368, 368, 368

Verification:

(368 + 368 + 368) / 3 = 1104 / 3 ≈ 368

This solution is correct!

Solution 3:

18, 247, 839

Verification:

(18 + 247 + 839) / 3 = 1104 / 3 ≈ 368

This solution is correct!

Solution 4:

415, 649, 40

Verification:

(415 + 649 + 40) / 3 = 1104 / 3 ≈ 368

This solution is correct!

Solution 5:

350, 145, 609

Verification:

(350 + 145 + 609) / 3 = 1104 / 3 ≈ 368

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 = 107What three numbers have an average of 107 ?
(X+Y+Z) / 3 = 617What three numbers have an average of 617 ?
(X+Y+Z) / 3 = 825What three numbers have an average of 825 ?

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