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:

2162, 36, 535

Verification:

(2162 + 36 + 535) / 3 = 2733 / 3 ≈ 911

This solution is correct!

Solution 4:

1750, 161, 822

Verification:

(1750 + 161 + 822) / 3 = 2733 / 3 ≈ 911

This solution is correct!

Solution 5:

2503, 154, 76

Verification:

(2503 + 154 + 76) / 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 = 617What three numbers have an average of 617 ?
(X+Y+Z) / 3 = 315What three numbers have an average of 315 ?
(X+Y+Z) / 3 = 470What three numbers have an average of 470 ?

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