What three numbers have an average of 391?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 391. This means if we add these three numbers together and divide by 3, we should get 391.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 391 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 391 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1173

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1173.

Solution 1:

391, 391, 391

Verification:

(391 + 391 + 391) / 3 = 1173 / 3 ≈ 391

This solution is correct!

Solution 2:

391, 391, 391

Verification:

(391 + 391 + 391) / 3 = 1173 / 3 ≈ 391

This solution is correct!

Solution 3:

579, 561, 33

Verification:

(579 + 561 + 33) / 3 = 1173 / 3 ≈ 391

This solution is correct!

Solution 4:

851, 228, 94

Verification:

(851 + 228 + 94) / 3 = 1173 / 3 ≈ 391

This solution is correct!

Solution 5:

569, 549, 55

Verification:

(569 + 549 + 55) / 3 = 1173 / 3 ≈ 391

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 = 371What three numbers have an average of 371 ?
(X+Y+Z) / 3 = 271What three numbers have an average of 271 ?
(X+Y+Z) / 3 = 137What three numbers have an average of 137 ?

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