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:

301, 107, 288

Verification:

(301 + 107 + 288) / 3 = 696 / 3 ≈ 232

This solution is correct!

Solution 4:

256, 112, 328

Verification:

(256 + 112 + 328) / 3 = 696 / 3 ≈ 232

This solution is correct!

Solution 5:

304, 258, 134

Verification:

(304 + 258 + 134) / 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 = 607What three numbers have an average of 607 ?
(X+Y+Z) / 3 = 953What three numbers have an average of 953 ?
(X+Y+Z) / 3 = 481What three numbers have an average of 481 ?

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