What three numbers have an average of 452?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 452. This means if we add these three numbers together and divide by 3, we should get 452.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 452 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 452 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1356

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1356.

Solution 1:

452, 452, 452

Verification:

(452 + 452 + 452) / 3 = 1356 / 3 ≈ 452

This solution is correct!

Solution 2:

452, 452, 452

Verification:

(452 + 452 + 452) / 3 = 1356 / 3 ≈ 452

This solution is correct!

Solution 3:

888, 335, 133

Verification:

(888 + 335 + 133) / 3 = 1356 / 3 ≈ 452

This solution is correct!

Solution 4:

1161, 167, 28

Verification:

(1161 + 167 + 28) / 3 = 1356 / 3 ≈ 452

This solution is correct!

Solution 5:

263, 337, 756

Verification:

(263 + 337 + 756) / 3 = 1356 / 3 ≈ 452

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 = 871What three numbers have an average of 871 ?
(X+Y+Z) / 3 = 665What three numbers have an average of 665 ?
(X+Y+Z) / 3 = 811What three numbers have an average of 811 ?

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