What three numbers have an average of 326?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 326. This means if we add these three numbers together and divide by 3, we should get 326.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 326 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 326 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 978

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 978.

Solution 1:

326, 326, 326

Verification:

(326 + 326 + 326) / 3 = 978 / 3 ≈ 326

This solution is correct!

Solution 2:

326, 326, 326

Verification:

(326 + 326 + 326) / 3 = 978 / 3 ≈ 326

This solution is correct!

Solution 3:

491, 367, 120

Verification:

(491 + 367 + 120) / 3 = 978 / 3 ≈ 326

This solution is correct!

Solution 4:

905, 47, 26

Verification:

(905 + 47 + 26) / 3 = 978 / 3 ≈ 326

This solution is correct!

Solution 5:

646, 284, 48

Verification:

(646 + 284 + 48) / 3 = 978 / 3 ≈ 326

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 = 349What three numbers have an average of 349 ?
(X+Y+Z) / 3 = 748What three numbers have an average of 748 ?
(X+Y+Z) / 3 = 342What three numbers have an average of 342 ?

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