What three numbers have an average of 816?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 816. This means if we add these three numbers together and divide by 3, we should get 816.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 816 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 816 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2448

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2448.

Solution 1:

816, 816, 816

Verification:

(816 + 816 + 816) / 3 = 2448 / 3 ≈ 816

This solution is correct!

Solution 2:

816, 816, 816

Verification:

(816 + 816 + 816) / 3 = 2448 / 3 ≈ 816

This solution is correct!

Solution 3:

2066, 35, 347

Verification:

(2066 + 35 + 347) / 3 = 2448 / 3 ≈ 816

This solution is correct!

Solution 4:

2010, 207, 231

Verification:

(2010 + 207 + 231) / 3 = 2448 / 3 ≈ 816

This solution is correct!

Solution 5:

598, 939, 911

Verification:

(598 + 939 + 911) / 3 = 2448 / 3 ≈ 816

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 = 680What three numbers have an average of 680 ?
(X+Y+Z) / 3 = 719What three numbers have an average of 719 ?
(X+Y+Z) / 3 = 218What three numbers have an average of 218 ?

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