What three numbers have an average of 394?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 394. This means if we add these three numbers together and divide by 3, we should get 394.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 394 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 394 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1182

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1182.

Solution 1:

394, 394, 394

Verification:

(394 + 394 + 394) / 3 = 1182 / 3 ≈ 394

This solution is correct!

Solution 2:

394, 394, 394

Verification:

(394 + 394 + 394) / 3 = 1182 / 3 ≈ 394

This solution is correct!

Solution 3:

257, 104, 821

Verification:

(257 + 104 + 821) / 3 = 1182 / 3 ≈ 394

This solution is correct!

Solution 4:

705, 375, 102

Verification:

(705 + 375 + 102) / 3 = 1182 / 3 ≈ 394

This solution is correct!

Solution 5:

259, 85, 838

Verification:

(259 + 85 + 838) / 3 = 1182 / 3 ≈ 394

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 = 122What three numbers have an average of 122 ?
(X+Y+Z) / 3 = 219What three numbers have an average of 219 ?
(X+Y+Z) / 3 = 338What three numbers have an average of 338 ?

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