What three numbers have an average of 328?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 328. This means if we add these three numbers together and divide by 3, we should get 328.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 328 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 328 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 984

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 984.

Solution 1:

328, 328, 328

Verification:

(328 + 328 + 328) / 3 = 984 / 3 ≈ 328

This solution is correct!

Solution 2:

328, 328, 328

Verification:

(328 + 328 + 328) / 3 = 984 / 3 ≈ 328

This solution is correct!

Solution 3:

852, 126, 6

Verification:

(852 + 126 + 6) / 3 = 984 / 3 ≈ 328

This solution is correct!

Solution 4:

555, 248, 181

Verification:

(555 + 248 + 181) / 3 = 984 / 3 ≈ 328

This solution is correct!

Solution 5:

404, 215, 365

Verification:

(404 + 215 + 365) / 3 = 984 / 3 ≈ 328

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 = 452What three numbers have an average of 452 ?
(X+Y+Z) / 3 = 692What three numbers have an average of 692 ?
(X+Y+Z) / 3 = 829What three numbers have an average of 829 ?

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