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:

1612, 520, 400

Verification:

(1612 + 520 + 400) / 3 = 2532 / 3 ≈ 844

This solution is correct!

Solution 4:

433, 1454, 645

Verification:

(433 + 1454 + 645) / 3 = 2532 / 3 ≈ 844

This solution is correct!

Solution 5:

1183, 264, 1085

Verification:

(1183 + 264 + 1085) / 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 = 347What three numbers have an average of 347 ?
(X+Y+Z) / 3 = 775What three numbers have an average of 775 ?
(X+Y+Z) / 3 = 429What three numbers have an average of 429 ?

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