What three numbers have an average of 822?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 822. This means if we add these three numbers together and divide by 3, we should get 822.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 822 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 822 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2466

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2466.

Solution 1:

822, 822, 822

Verification:

(822 + 822 + 822) / 3 = 2466 / 3 ≈ 822

This solution is correct!

Solution 2:

822, 822, 822

Verification:

(822 + 822 + 822) / 3 = 2466 / 3 ≈ 822

This solution is correct!

Solution 3:

2157, 202, 107

Verification:

(2157 + 202 + 107) / 3 = 2466 / 3 ≈ 822

This solution is correct!

Solution 4:

289, 1791, 386

Verification:

(289 + 1791 + 386) / 3 = 2466 / 3 ≈ 822

This solution is correct!

Solution 5:

2341, 103, 22

Verification:

(2341 + 103 + 22) / 3 = 2466 / 3 ≈ 822

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 = 860What three numbers have an average of 860 ?
(X+Y+Z) / 3 = 551What three numbers have an average of 551 ?
(X+Y+Z) / 3 = 702What three numbers have an average of 702 ?

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