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:

85, 403, 400

Verification:

(85 + 403 + 400) / 3 = 888 / 3 ≈ 296

This solution is correct!

Solution 4:

359, 171, 358

Verification:

(359 + 171 + 358) / 3 = 888 / 3 ≈ 296

This solution is correct!

Solution 5:

484, 147, 257

Verification:

(484 + 147 + 257) / 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 = 874What three numbers have an average of 874 ?
(X+Y+Z) / 3 = 244What three numbers have an average of 244 ?
(X+Y+Z) / 3 = 205What three numbers have an average of 205 ?

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