What three numbers have an average of 881?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 881. This means if we add these three numbers together and divide by 3, we should get 881.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 881 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 881 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2643

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2643.

Solution 1:

881, 881, 881

Verification:

(881 + 881 + 881) / 3 = 2643 / 3 ≈ 881

This solution is correct!

Solution 2:

881, 881, 881

Verification:

(881 + 881 + 881) / 3 = 2643 / 3 ≈ 881

This solution is correct!

Solution 3:

279, 1446, 918

Verification:

(279 + 1446 + 918) / 3 = 2643 / 3 ≈ 881

This solution is correct!

Solution 4:

780, 1671, 192

Verification:

(780 + 1671 + 192) / 3 = 2643 / 3 ≈ 881

This solution is correct!

Solution 5:

1188, 679, 776

Verification:

(1188 + 679 + 776) / 3 = 2643 / 3 ≈ 881

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 = 506What three numbers have an average of 506 ?
(X+Y+Z) / 3 = 400What three numbers have an average of 400 ?
(X+Y+Z) / 3 = 687What three numbers have an average of 687 ?

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