What three numbers have an average of 330?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 330. This means if we add these three numbers together and divide by 3, we should get 330.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 330 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 330 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 990

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 990.

Solution 1:

330, 330, 330

Verification:

(330 + 330 + 330) / 3 = 990 / 3 ≈ 330

This solution is correct!

Solution 2:

330, 330, 330

Verification:

(330 + 330 + 330) / 3 = 990 / 3 ≈ 330

This solution is correct!

Solution 3:

310, 379, 301

Verification:

(310 + 379 + 301) / 3 = 990 / 3 ≈ 330

This solution is correct!

Solution 4:

99, 729, 162

Verification:

(99 + 729 + 162) / 3 = 990 / 3 ≈ 330

This solution is correct!

Solution 5:

856, 78, 56

Verification:

(856 + 78 + 56) / 3 = 990 / 3 ≈ 330

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 = 698What three numbers have an average of 698 ?
(X+Y+Z) / 3 = 357What three numbers have an average of 357 ?
(X+Y+Z) / 3 = 819What three numbers have an average of 819 ?

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