What three numbers have an average of 873?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 873. This means if we add these three numbers together and divide by 3, we should get 873.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 873 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 873 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2619

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2619.

Solution 1:

873, 873, 873

Verification:

(873 + 873 + 873) / 3 = 2619 / 3 ≈ 873

This solution is correct!

Solution 2:

873, 873, 873

Verification:

(873 + 873 + 873) / 3 = 2619 / 3 ≈ 873

This solution is correct!

Solution 3:

2419, 110, 90

Verification:

(2419 + 110 + 90) / 3 = 2619 / 3 ≈ 873

This solution is correct!

Solution 4:

2123, 269, 227

Verification:

(2123 + 269 + 227) / 3 = 2619 / 3 ≈ 873

This solution is correct!

Solution 5:

1389, 516, 714

Verification:

(1389 + 516 + 714) / 3 = 2619 / 3 ≈ 873

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 = 545What three numbers have an average of 545 ?
(X+Y+Z) / 3 = 82What three numbers have an average of 82 ?
(X+Y+Z) / 3 = 499What three numbers have an average of 499 ?

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