What three numbers have an average of 271?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 271. This means if we add these three numbers together and divide by 3, we should get 271.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 271 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 271 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 813

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 813.

Solution 1:

271, 271, 271

Verification:

(271 + 271 + 271) / 3 = 813 / 3 ≈ 271

This solution is correct!

Solution 2:

271, 271, 271

Verification:

(271 + 271 + 271) / 3 = 813 / 3 ≈ 271

This solution is correct!

Solution 3:

655, 54, 104

Verification:

(655 + 54 + 104) / 3 = 813 / 3 ≈ 271

This solution is correct!

Solution 4:

302, 181, 330

Verification:

(302 + 181 + 330) / 3 = 813 / 3 ≈ 271

This solution is correct!

Solution 5:

390, 292, 131

Verification:

(390 + 292 + 131) / 3 = 813 / 3 ≈ 271

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 = 924What three numbers have an average of 924 ?
(X+Y+Z) / 3 = 344What three numbers have an average of 344 ?
(X+Y+Z) / 3 = 769What three numbers have an average of 769 ?

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