What three numbers have an average of 324?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 324. This means if we add these three numbers together and divide by 3, we should get 324.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 324 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 324 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 972

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 972.

Solution 1:

324, 324, 324

Verification:

(324 + 324 + 324) / 3 = 972 / 3 ≈ 324

This solution is correct!

Solution 2:

324, 324, 324

Verification:

(324 + 324 + 324) / 3 = 972 / 3 ≈ 324

This solution is correct!

Solution 3:

592, 106, 274

Verification:

(592 + 106 + 274) / 3 = 972 / 3 ≈ 324

This solution is correct!

Solution 4:

746, 207, 19

Verification:

(746 + 207 + 19) / 3 = 972 / 3 ≈ 324

This solution is correct!

Solution 5:

378, 478, 116

Verification:

(378 + 478 + 116) / 3 = 972 / 3 ≈ 324

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 = 767What three numbers have an average of 767 ?
(X+Y+Z) / 3 = 184What three numbers have an average of 184 ?
(X+Y+Z) / 3 = 983What three numbers have an average of 983 ?

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