What three numbers have an average of 376?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 376. This means if we add these three numbers together and divide by 3, we should get 376.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 376 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 376 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1128

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1128.

Solution 1:

376, 376, 376

Verification:

(376 + 376 + 376) / 3 = 1128 / 3 ≈ 376

This solution is correct!

Solution 2:

376, 376, 376

Verification:

(376 + 376 + 376) / 3 = 1128 / 3 ≈ 376

This solution is correct!

Solution 3:

400, 220, 508

Verification:

(400 + 220 + 508) / 3 = 1128 / 3 ≈ 376

This solution is correct!

Solution 4:

515, 327, 286

Verification:

(515 + 327 + 286) / 3 = 1128 / 3 ≈ 376

This solution is correct!

Solution 5:

246, 268, 614

Verification:

(246 + 268 + 614) / 3 = 1128 / 3 ≈ 376

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 = 172What three numbers have an average of 172 ?
(X+Y+Z) / 3 = 48What three numbers have an average of 48 ?
(X+Y+Z) / 3 = 52What three numbers have an average of 52 ?

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