What three numbers have an average of 844?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 844. This means if we add these three numbers together and divide by 3, we should get 844.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 844 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 844 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2532

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2532.

Solution 1:

844, 844, 844

Verification:

(844 + 844 + 844) / 3 = 2532 / 3 ≈ 844

This solution is correct!

Solution 2:

844, 844, 844

Verification:

(844 + 844 + 844) / 3 = 2532 / 3 ≈ 844

This solution is correct!

Solution 3:

291, 1558, 683

Verification:

(291 + 1558 + 683) / 3 = 2532 / 3 ≈ 844

This solution is correct!

Solution 4:

199, 2140, 193

Verification:

(199 + 2140 + 193) / 3 = 2532 / 3 ≈ 844

This solution is correct!

Solution 5:

2229, 204, 99

Verification:

(2229 + 204 + 99) / 3 = 2532 / 3 ≈ 844

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 = 412What three numbers have an average of 412 ?
(X+Y+Z) / 3 = 126What three numbers have an average of 126 ?
(X+Y+Z) / 3 = 115What three numbers have an average of 115 ?

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