What three numbers have an average of 272?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 272. This means if we add these three numbers together and divide by 3, we should get 272.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 272 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 272 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 816

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 816.

Solution 1:

272, 272, 272

Verification:

(272 + 272 + 272) / 3 = 816 / 3 ≈ 272

This solution is correct!

Solution 2:

272, 272, 272

Verification:

(272 + 272 + 272) / 3 = 816 / 3 ≈ 272

This solution is correct!

Solution 3:

461, 212, 143

Verification:

(461 + 212 + 143) / 3 = 816 / 3 ≈ 272

This solution is correct!

Solution 4:

35, 68, 713

Verification:

(35 + 68 + 713) / 3 = 816 / 3 ≈ 272

This solution is correct!

Solution 5:

814, 1, 1

Verification:

(814 + 1 + 1) / 3 = 816 / 3 ≈ 272

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 = 107What three numbers have an average of 107 ?
(X+Y+Z) / 3 = 965What three numbers have an average of 965 ?
(X+Y+Z) / 3 = 881What three numbers have an average of 881 ?

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