What three numbers have an average of 453?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 453. This means if we add these three numbers together and divide by 3, we should get 453.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 453 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 453 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1359

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1359.

Solution 1:

453, 453, 453

Verification:

(453 + 453 + 453) / 3 = 1359 / 3 ≈ 453

This solution is correct!

Solution 2:

453, 453, 453

Verification:

(453 + 453 + 453) / 3 = 1359 / 3 ≈ 453

This solution is correct!

Solution 3:

620, 35, 704

Verification:

(620 + 35 + 704) / 3 = 1359 / 3 ≈ 453

This solution is correct!

Solution 4:

506, 447, 406

Verification:

(506 + 447 + 406) / 3 = 1359 / 3 ≈ 453

This solution is correct!

Solution 5:

1132, 30, 197

Verification:

(1132 + 30 + 197) / 3 = 1359 / 3 ≈ 453

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 = 639What three numbers have an average of 639 ?
(X+Y+Z) / 3 = 900What three numbers have an average of 900 ?
(X+Y+Z) / 3 = 729What three numbers have an average of 729 ?

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