What three numbers have an average of 804?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 804. This means if we add these three numbers together and divide by 3, we should get 804.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 804 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 804 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2412

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2412.

Solution 1:

804, 804, 804

Verification:

(804 + 804 + 804) / 3 = 2412 / 3 ≈ 804

This solution is correct!

Solution 2:

804, 804, 804

Verification:

(804 + 804 + 804) / 3 = 2412 / 3 ≈ 804

This solution is correct!

Solution 3:

454, 667, 1291

Verification:

(454 + 667 + 1291) / 3 = 2412 / 3 ≈ 804

This solution is correct!

Solution 4:

283, 2082, 47

Verification:

(283 + 2082 + 47) / 3 = 2412 / 3 ≈ 804

This solution is correct!

Solution 5:

1795, 507, 110

Verification:

(1795 + 507 + 110) / 3 = 2412 / 3 ≈ 804

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 = 496What three numbers have an average of 496 ?
(X+Y+Z) / 3 = 265What three numbers have an average of 265 ?
(X+Y+Z) / 3 = 844What three numbers have an average of 844 ?

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