What three numbers have an average of 841?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 841. This means if we add these three numbers together and divide by 3, we should get 841.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 841 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 841 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2523

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2523.

Solution 1:

841, 841, 841

Verification:

(841 + 841 + 841) / 3 = 2523 / 3 ≈ 841

This solution is correct!

Solution 2:

841, 841, 841

Verification:

(841 + 841 + 841) / 3 = 2523 / 3 ≈ 841

This solution is correct!

Solution 3:

142, 1330, 1051

Verification:

(142 + 1330 + 1051) / 3 = 2523 / 3 ≈ 841

This solution is correct!

Solution 4:

949, 351, 1223

Verification:

(949 + 351 + 1223) / 3 = 2523 / 3 ≈ 841

This solution is correct!

Solution 5:

2106, 107, 310

Verification:

(2106 + 107 + 310) / 3 = 2523 / 3 ≈ 841

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 = 596What three numbers have an average of 596 ?
(X+Y+Z) / 3 = 632What three numbers have an average of 632 ?
(X+Y+Z) / 3 = 547What three numbers have an average of 547 ?

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