What three numbers have an average of 230?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 230. This means if we add these three numbers together and divide by 3, we should get 230.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 230 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 230 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 690

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 690.

Solution 1:

230, 230, 230

Verification:

(230 + 230 + 230) / 3 = 690 / 3 ≈ 230

This solution is correct!

Solution 2:

230, 230, 230

Verification:

(230 + 230 + 230) / 3 = 690 / 3 ≈ 230

This solution is correct!

Solution 3:

611, 37, 42

Verification:

(611 + 37 + 42) / 3 = 690 / 3 ≈ 230

This solution is correct!

Solution 4:

130, 26, 534

Verification:

(130 + 26 + 534) / 3 = 690 / 3 ≈ 230

This solution is correct!

Solution 5:

616, 62, 12

Verification:

(616 + 62 + 12) / 3 = 690 / 3 ≈ 230

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 = 278What three numbers have an average of 278 ?
(X+Y+Z) / 3 = 288What three numbers have an average of 288 ?
(X+Y+Z) / 3 = 484What three numbers have an average of 484 ?

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