What three numbers have an average of 366?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 366. This means if we add these three numbers together and divide by 3, we should get 366.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 366 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 366 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1098

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1098.

Solution 1:

366, 366, 366

Verification:

(366 + 366 + 366) / 3 = 1098 / 3 ≈ 366

This solution is correct!

Solution 2:

366, 366, 366

Verification:

(366 + 366 + 366) / 3 = 1098 / 3 ≈ 366

This solution is correct!

Solution 3:

280, 121, 697

Verification:

(280 + 121 + 697) / 3 = 1098 / 3 ≈ 366

This solution is correct!

Solution 4:

660, 404, 34

Verification:

(660 + 404 + 34) / 3 = 1098 / 3 ≈ 366

This solution is correct!

Solution 5:

489, 18, 591

Verification:

(489 + 18 + 591) / 3 = 1098 / 3 ≈ 366

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 = 8What three numbers have an average of 8 ?
(X+Y+Z) / 3 = 378What three numbers have an average of 378 ?
(X+Y+Z) / 3 = 657What three numbers have an average of 657 ?

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