What three numbers have an average of 334?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 334. This means if we add these three numbers together and divide by 3, we should get 334.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 334 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 334 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1002

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1002.

Solution 1:

334, 334, 334

Verification:

(334 + 334 + 334) / 3 = 1002 / 3 ≈ 334

This solution is correct!

Solution 2:

334, 334, 334

Verification:

(334 + 334 + 334) / 3 = 1002 / 3 ≈ 334

This solution is correct!

Solution 3:

516, 190, 296

Verification:

(516 + 190 + 296) / 3 = 1002 / 3 ≈ 334

This solution is correct!

Solution 4:

16, 81, 905

Verification:

(16 + 81 + 905) / 3 = 1002 / 3 ≈ 334

This solution is correct!

Solution 5:

514, 100, 388

Verification:

(514 + 100 + 388) / 3 = 1002 / 3 ≈ 334

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 = 77What three numbers have an average of 77 ?
(X+Y+Z) / 3 = 610What three numbers have an average of 610 ?
(X+Y+Z) / 3 = 760What three numbers have an average of 760 ?

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