What three numbers have an average of 193?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 193. This means if we add these three numbers together and divide by 3, we should get 193.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 193 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 193 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 579

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 579.

Solution 1:

193, 193, 193

Verification:

(193 + 193 + 193) / 3 = 579 / 3 ≈ 193

This solution is correct!

Solution 2:

193, 193, 193

Verification:

(193 + 193 + 193) / 3 = 579 / 3 ≈ 193

This solution is correct!

Solution 3:

235, 83, 261

Verification:

(235 + 83 + 261) / 3 = 579 / 3 ≈ 193

This solution is correct!

Solution 4:

332, 60, 187

Verification:

(332 + 60 + 187) / 3 = 579 / 3 ≈ 193

This solution is correct!

Solution 5:

257, 1, 321

Verification:

(257 + 1 + 321) / 3 = 579 / 3 ≈ 193

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 = 969What three numbers have an average of 969 ?
(X+Y+Z) / 3 = 780What three numbers have an average of 780 ?
(X+Y+Z) / 3 = 57What three numbers have an average of 57 ?

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