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:

669, 108, 201

Verification:

(669 + 108 + 201) / 3 = 978 / 3 ≈ 326

This solution is correct!

Solution 4:

291, 97, 590

Verification:

(291 + 97 + 590) / 3 = 978 / 3 ≈ 326

This solution is correct!

Solution 5:

295, 614, 69

Verification:

(295 + 614 + 69) / 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 = 842What three numbers have an average of 842 ?
(X+Y+Z) / 3 = 759What three numbers have an average of 759 ?
(X+Y+Z) / 3 = 487What three numbers have an average of 487 ?

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