What three numbers have an average of 232?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 232. This means if we add these three numbers together and divide by 3, we should get 232.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 232 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 232 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 696

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 696.

Solution 1:

232, 232, 232

Verification:

(232 + 232 + 232) / 3 = 696 / 3 ≈ 232

This solution is correct!

Solution 2:

232, 232, 232

Verification:

(232 + 232 + 232) / 3 = 696 / 3 ≈ 232

This solution is correct!

Solution 3:

331, 284, 81

Verification:

(331 + 284 + 81) / 3 = 696 / 3 ≈ 232

This solution is correct!

Solution 4:

295, 3, 398

Verification:

(295 + 3 + 398) / 3 = 696 / 3 ≈ 232

This solution is correct!

Solution 5:

146, 352, 198

Verification:

(146 + 352 + 198) / 3 = 696 / 3 ≈ 232

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 = 205What three numbers have an average of 205 ?
(X+Y+Z) / 3 = 630What three numbers have an average of 630 ?
(X+Y+Z) / 3 = 741What three numbers have an average of 741 ?

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