What three numbers have an average of 323?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 323. This means if we add these three numbers together and divide by 3, we should get 323.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 323 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 323 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 969

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 969.

Solution 1:

323, 323, 323

Verification:

(323 + 323 + 323) / 3 = 969 / 3 ≈ 323

This solution is correct!

Solution 2:

323, 323, 323

Verification:

(323 + 323 + 323) / 3 = 969 / 3 ≈ 323

This solution is correct!

Solution 3:

332, 110, 527

Verification:

(332 + 110 + 527) / 3 = 969 / 3 ≈ 323

This solution is correct!

Solution 4:

908, 7, 54

Verification:

(908 + 7 + 54) / 3 = 969 / 3 ≈ 323

This solution is correct!

Solution 5:

109, 847, 13

Verification:

(109 + 847 + 13) / 3 = 969 / 3 ≈ 323

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 = 817What three numbers have an average of 817 ?
(X+Y+Z) / 3 = 262What three numbers have an average of 262 ?
(X+Y+Z) / 3 = 528What three numbers have an average of 528 ?

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