What three numbers have an average of 892?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 892. This means if we add these three numbers together and divide by 3, we should get 892.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 892 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 892 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2676

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2676.

Solution 1:

892, 892, 892

Verification:

(892 + 892 + 892) / 3 = 2676 / 3 ≈ 892

This solution is correct!

Solution 2:

892, 892, 892

Verification:

(892 + 892 + 892) / 3 = 2676 / 3 ≈ 892

This solution is correct!

Solution 3:

881, 962, 833

Verification:

(881 + 962 + 833) / 3 = 2676 / 3 ≈ 892

This solution is correct!

Solution 4:

485, 1456, 735

Verification:

(485 + 1456 + 735) / 3 = 2676 / 3 ≈ 892

This solution is correct!

Solution 5:

695, 1910, 71

Verification:

(695 + 1910 + 71) / 3 = 2676 / 3 ≈ 892

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 = 150What three numbers have an average of 150 ?
(X+Y+Z) / 3 = 809What three numbers have an average of 809 ?
(X+Y+Z) / 3 = 706What three numbers have an average of 706 ?

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