What three numbers have an average of 327?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 327. This means if we add these three numbers together and divide by 3, we should get 327.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 327 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 327 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 981

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 981.

Solution 1:

327, 327, 327

Verification:

(327 + 327 + 327) / 3 = 981 / 3 ≈ 327

This solution is correct!

Solution 2:

327, 327, 327

Verification:

(327 + 327 + 327) / 3 = 981 / 3 ≈ 327

This solution is correct!

Solution 3:

422, 319, 240

Verification:

(422 + 319 + 240) / 3 = 981 / 3 ≈ 327

This solution is correct!

Solution 4:

43, 124, 814

Verification:

(43 + 124 + 814) / 3 = 981 / 3 ≈ 327

This solution is correct!

Solution 5:

568, 120, 293

Verification:

(568 + 120 + 293) / 3 = 981 / 3 ≈ 327

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 = 578What three numbers have an average of 578 ?
(X+Y+Z) / 3 = 79What three numbers have an average of 79 ?
(X+Y+Z) / 3 = 987What three numbers have an average of 987 ?

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