What three numbers have an average of 322?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 322. This means if we add these three numbers together and divide by 3, we should get 322.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 322 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 322 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 966

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 966.

Solution 1:

322, 322, 322

Verification:

(322 + 322 + 322) / 3 = 966 / 3 ≈ 322

This solution is correct!

Solution 2:

322, 322, 322

Verification:

(322 + 322 + 322) / 3 = 966 / 3 ≈ 322

This solution is correct!

Solution 3:

363, 181, 422

Verification:

(363 + 181 + 422) / 3 = 966 / 3 ≈ 322

This solution is correct!

Solution 4:

687, 274, 5

Verification:

(687 + 274 + 5) / 3 = 966 / 3 ≈ 322

This solution is correct!

Solution 5:

175, 552, 239

Verification:

(175 + 552 + 239) / 3 = 966 / 3 ≈ 322

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 = 725What three numbers have an average of 725 ?
(X+Y+Z) / 3 = 933What three numbers have an average of 933 ?
(X+Y+Z) / 3 = 984What three numbers have an average of 984 ?

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