What three numbers have an average of 381?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 381. This means if we add these three numbers together and divide by 3, we should get 381.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 381 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 381 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1143

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1143.

Solution 1:

381, 381, 381

Verification:

(381 + 381 + 381) / 3 = 1143 / 3 ≈ 381

This solution is correct!

Solution 2:

381, 381, 381

Verification:

(381 + 381 + 381) / 3 = 1143 / 3 ≈ 381

This solution is correct!

Solution 3:

1043, 98, 2

Verification:

(1043 + 98 + 2) / 3 = 1143 / 3 ≈ 381

This solution is correct!

Solution 4:

922, 62, 159

Verification:

(922 + 62 + 159) / 3 = 1143 / 3 ≈ 381

This solution is correct!

Solution 5:

764, 147, 232

Verification:

(764 + 147 + 232) / 3 = 1143 / 3 ≈ 381

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 = 161What three numbers have an average of 161 ?
(X+Y+Z) / 3 = 182What three numbers have an average of 182 ?
(X+Y+Z) / 3 = 125What three numbers have an average of 125 ?

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