What three numbers have an average of 883?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 883. This means if we add these three numbers together and divide by 3, we should get 883.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 883 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 883 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2649

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2649.

Solution 1:

883, 883, 883

Verification:

(883 + 883 + 883) / 3 = 2649 / 3 ≈ 883

This solution is correct!

Solution 2:

883, 883, 883

Verification:

(883 + 883 + 883) / 3 = 2649 / 3 ≈ 883

This solution is correct!

Solution 3:

1555, 439, 655

Verification:

(1555 + 439 + 655) / 3 = 2649 / 3 ≈ 883

This solution is correct!

Solution 4:

1379, 261, 1009

Verification:

(1379 + 261 + 1009) / 3 = 2649 / 3 ≈ 883

This solution is correct!

Solution 5:

1573, 473, 603

Verification:

(1573 + 473 + 603) / 3 = 2649 / 3 ≈ 883

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 = 284What three numbers have an average of 284 ?
(X+Y+Z) / 3 = 11What three numbers have an average of 11 ?
(X+Y+Z) / 3 = 180What three numbers have an average of 180 ?

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