What three numbers have an average of 336?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 336. This means if we add these three numbers together and divide by 3, we should get 336.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 336 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 336 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1008

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1008.

Solution 1:

336, 336, 336

Verification:

(336 + 336 + 336) / 3 = 1008 / 3 ≈ 336

This solution is correct!

Solution 2:

336, 336, 336

Verification:

(336 + 336 + 336) / 3 = 1008 / 3 ≈ 336

This solution is correct!

Solution 3:

268, 478, 262

Verification:

(268 + 478 + 262) / 3 = 1008 / 3 ≈ 336

This solution is correct!

Solution 4:

956, 5, 47

Verification:

(956 + 5 + 47) / 3 = 1008 / 3 ≈ 336

This solution is correct!

Solution 5:

49, 436, 523

Verification:

(49 + 436 + 523) / 3 = 1008 / 3 ≈ 336

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 = 816What three numbers have an average of 816 ?
(X+Y+Z) / 3 = 485What three numbers have an average of 485 ?
(X+Y+Z) / 3 = 491What three numbers have an average of 491 ?

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