What three numbers have an average of 239?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 239. This means if we add these three numbers together and divide by 3, we should get 239.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 239 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 239 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 717

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 717.

Solution 1:

239, 239, 239

Verification:

(239 + 239 + 239) / 3 = 717 / 3 ≈ 239

This solution is correct!

Solution 2:

239, 239, 239

Verification:

(239 + 239 + 239) / 3 = 717 / 3 ≈ 239

This solution is correct!

Solution 3:

375, 21, 321

Verification:

(375 + 21 + 321) / 3 = 717 / 3 ≈ 239

This solution is correct!

Solution 4:

183, 451, 83

Verification:

(183 + 451 + 83) / 3 = 717 / 3 ≈ 239

This solution is correct!

Solution 5:

667, 32, 18

Verification:

(667 + 32 + 18) / 3 = 717 / 3 ≈ 239

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 = 630What three numbers have an average of 630 ?
(X+Y+Z) / 3 = 746What three numbers have an average of 746 ?
(X+Y+Z) / 3 = 828What three numbers have an average of 828 ?

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