What three numbers have an average of 304?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 304. This means if we add these three numbers together and divide by 3, we should get 304.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 304 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 304 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 912

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 912.

Solution 1:

304, 304, 304

Verification:

(304 + 304 + 304) / 3 = 912 / 3 ≈ 304

This solution is correct!

Solution 2:

304, 304, 304

Verification:

(304 + 304 + 304) / 3 = 912 / 3 ≈ 304

This solution is correct!

Solution 3:

591, 67, 254

Verification:

(591 + 67 + 254) / 3 = 912 / 3 ≈ 304

This solution is correct!

Solution 4:

559, 60, 293

Verification:

(559 + 60 + 293) / 3 = 912 / 3 ≈ 304

This solution is correct!

Solution 5:

739, 14, 159

Verification:

(739 + 14 + 159) / 3 = 912 / 3 ≈ 304

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 = 972What three numbers have an average of 972 ?
(X+Y+Z) / 3 = 449What three numbers have an average of 449 ?
(X+Y+Z) / 3 = 380What three numbers have an average of 380 ?

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