What three numbers have an average of 815?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 815. This means if we add these three numbers together and divide by 3, we should get 815.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 815 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 815 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2445

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2445.

Solution 1:

815, 815, 815

Verification:

(815 + 815 + 815) / 3 = 2445 / 3 ≈ 815

This solution is correct!

Solution 2:

815, 815, 815

Verification:

(815 + 815 + 815) / 3 = 2445 / 3 ≈ 815

This solution is correct!

Solution 3:

1139, 528, 778

Verification:

(1139 + 528 + 778) / 3 = 2445 / 3 ≈ 815

This solution is correct!

Solution 4:

1285, 800, 360

Verification:

(1285 + 800 + 360) / 3 = 2445 / 3 ≈ 815

This solution is correct!

Solution 5:

517, 1809, 119

Verification:

(517 + 1809 + 119) / 3 = 2445 / 3 ≈ 815

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 = 220What three numbers have an average of 220 ?
(X+Y+Z) / 3 = 9What three numbers have an average of 9 ?
(X+Y+Z) / 3 = 748What three numbers have an average of 748 ?

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