What three numbers have an average of 911?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 911. This means if we add these three numbers together and divide by 3, we should get 911.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 911 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 911 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2733

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2733.

Solution 1:

911, 911, 911

Verification:

(911 + 911 + 911) / 3 = 2733 / 3 ≈ 911

This solution is correct!

Solution 2:

911, 911, 911

Verification:

(911 + 911 + 911) / 3 = 2733 / 3 ≈ 911

This solution is correct!

Solution 3:

1585, 974, 174

Verification:

(1585 + 974 + 174) / 3 = 2733 / 3 ≈ 911

This solution is correct!

Solution 4:

605, 250, 1878

Verification:

(605 + 250 + 1878) / 3 = 2733 / 3 ≈ 911

This solution is correct!

Solution 5:

2024, 89, 620

Verification:

(2024 + 89 + 620) / 3 = 2733 / 3 ≈ 911

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 = 536What three numbers have an average of 536 ?
(X+Y+Z) / 3 = 41What three numbers have an average of 41 ?
(X+Y+Z) / 3 = 907What three numbers have an average of 907 ?

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