What three numbers have an average of 173?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 173. This means if we add these three numbers together and divide by 3, we should get 173.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 173 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 173 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 519

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 519.

Solution 1:

173, 173, 173

Verification:

(173 + 173 + 173) / 3 = 519 / 3 ≈ 173

This solution is correct!

Solution 2:

173, 173, 173

Verification:

(173 + 173 + 173) / 3 = 519 / 3 ≈ 173

This solution is correct!

Solution 3:

125, 13, 381

Verification:

(125 + 13 + 381) / 3 = 519 / 3 ≈ 173

This solution is correct!

Solution 4:

117, 85, 317

Verification:

(117 + 85 + 317) / 3 = 519 / 3 ≈ 173

This solution is correct!

Solution 5:

202, 128, 189

Verification:

(202 + 128 + 189) / 3 = 519 / 3 ≈ 173

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 = 4What three numbers have an average of 4 ?
(X+Y+Z) / 3 = 142What three numbers have an average of 142 ?
(X+Y+Z) / 3 = 606What three numbers have an average of 606 ?

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