What three numbers have an average of 845?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 845. This means if we add these three numbers together and divide by 3, we should get 845.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 845 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 845 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2535

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2535.

Solution 1:

845, 845, 845

Verification:

(845 + 845 + 845) / 3 = 2535 / 3 ≈ 845

This solution is correct!

Solution 2:

845, 845, 845

Verification:

(845 + 845 + 845) / 3 = 2535 / 3 ≈ 845

This solution is correct!

Solution 3:

122, 1419, 994

Verification:

(122 + 1419 + 994) / 3 = 2535 / 3 ≈ 845

This solution is correct!

Solution 4:

1260, 48, 1227

Verification:

(1260 + 48 + 1227) / 3 = 2535 / 3 ≈ 845

This solution is correct!

Solution 5:

586, 1844, 105

Verification:

(586 + 1844 + 105) / 3 = 2535 / 3 ≈ 845

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 = 367What three numbers have an average of 367 ?
(X+Y+Z) / 3 = 315What three numbers have an average of 315 ?
(X+Y+Z) / 3 = 355What three numbers have an average of 355 ?

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