What three numbers have an average of 296?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 296. This means if we add these three numbers together and divide by 3, we should get 296.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 296 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 296 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 888

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 888.

Solution 1:

296, 296, 296

Verification:

(296 + 296 + 296) / 3 = 888 / 3 ≈ 296

This solution is correct!

Solution 2:

296, 296, 296

Verification:

(296 + 296 + 296) / 3 = 888 / 3 ≈ 296

This solution is correct!

Solution 3:

253, 570, 65

Verification:

(253 + 570 + 65) / 3 = 888 / 3 ≈ 296

This solution is correct!

Solution 4:

283, 50, 555

Verification:

(283 + 50 + 555) / 3 = 888 / 3 ≈ 296

This solution is correct!

Solution 5:

478, 389, 21

Verification:

(478 + 389 + 21) / 3 = 888 / 3 ≈ 296

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 = 686What three numbers have an average of 686 ?
(X+Y+Z) / 3 = 271What three numbers have an average of 271 ?
(X+Y+Z) / 3 = 488What three numbers have an average of 488 ?

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