What three numbers have an average of 275?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 275. This means if we add these three numbers together and divide by 3, we should get 275.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 275 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 275 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 825

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 825.

Solution 1:

275, 275, 275

Verification:

(275 + 275 + 275) / 3 = 825 / 3 ≈ 275

This solution is correct!

Solution 2:

275, 275, 275

Verification:

(275 + 275 + 275) / 3 = 825 / 3 ≈ 275

This solution is correct!

Solution 3:

35, 387, 403

Verification:

(35 + 387 + 403) / 3 = 825 / 3 ≈ 275

This solution is correct!

Solution 4:

317, 341, 167

Verification:

(317 + 341 + 167) / 3 = 825 / 3 ≈ 275

This solution is correct!

Solution 5:

685, 74, 66

Verification:

(685 + 74 + 66) / 3 = 825 / 3 ≈ 275

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 = 913What three numbers have an average of 913 ?
(X+Y+Z) / 3 = 17What three numbers have an average of 17 ?
(X+Y+Z) / 3 = 234What three numbers have an average of 234 ?

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