What three numbers have an average of 329?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 329. This means if we add these three numbers together and divide by 3, we should get 329.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 329 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 329 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 987

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 987.

Solution 1:

329, 329, 329

Verification:

(329 + 329 + 329) / 3 = 987 / 3 ≈ 329

This solution is correct!

Solution 2:

329, 329, 329

Verification:

(329 + 329 + 329) / 3 = 987 / 3 ≈ 329

This solution is correct!

Solution 3:

832, 150, 5

Verification:

(832 + 150 + 5) / 3 = 987 / 3 ≈ 329

This solution is correct!

Solution 4:

714, 49, 224

Verification:

(714 + 49 + 224) / 3 = 987 / 3 ≈ 329

This solution is correct!

Solution 5:

694, 58, 235

Verification:

(694 + 58 + 235) / 3 = 987 / 3 ≈ 329

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 = 852What three numbers have an average of 852 ?
(X+Y+Z) / 3 = 659What three numbers have an average of 659 ?
(X+Y+Z) / 3 = 364What three numbers have an average of 364 ?

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