What three numbers have an average of 448?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 448. This means if we add these three numbers together and divide by 3, we should get 448.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 448 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 448 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1344

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1344.

Solution 1:

448, 448, 448

Verification:

(448 + 448 + 448) / 3 = 1344 / 3 ≈ 448

This solution is correct!

Solution 2:

448, 448, 448

Verification:

(448 + 448 + 448) / 3 = 1344 / 3 ≈ 448

This solution is correct!

Solution 3:

139, 1122, 83

Verification:

(139 + 1122 + 83) / 3 = 1344 / 3 ≈ 448

This solution is correct!

Solution 4:

204, 629, 511

Verification:

(204 + 629 + 511) / 3 = 1344 / 3 ≈ 448

This solution is correct!

Solution 5:

327, 150, 867

Verification:

(327 + 150 + 867) / 3 = 1344 / 3 ≈ 448

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 = 605What three numbers have an average of 605 ?
(X+Y+Z) / 3 = 23What three numbers have an average of 23 ?
(X+Y+Z) / 3 = 961What three numbers have an average of 961 ?

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