What three numbers have an average of 372?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 372. This means if we add these three numbers together and divide by 3, we should get 372.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 372 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 372 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1116

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1116.

Solution 1:

372, 372, 372

Verification:

(372 + 372 + 372) / 3 = 1116 / 3 ≈ 372

This solution is correct!

Solution 2:

372, 372, 372

Verification:

(372 + 372 + 372) / 3 = 1116 / 3 ≈ 372

This solution is correct!

Solution 3:

976, 113, 27

Verification:

(976 + 113 + 27) / 3 = 1116 / 3 ≈ 372

This solution is correct!

Solution 4:

438, 156, 522

Verification:

(438 + 156 + 522) / 3 = 1116 / 3 ≈ 372

This solution is correct!

Solution 5:

267, 790, 59

Verification:

(267 + 790 + 59) / 3 = 1116 / 3 ≈ 372

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 = 725What three numbers have an average of 725 ?
(X+Y+Z) / 3 = 519What three numbers have an average of 519 ?
(X+Y+Z) / 3 = 934What three numbers have an average of 934 ?

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