What three numbers have an average of 218?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 218. This means if we add these three numbers together and divide by 3, we should get 218.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 218 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 218 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 654

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 654.

Solution 1:

218, 218, 218

Verification:

(218 + 218 + 218) / 3 = 654 / 3 ≈ 218

This solution is correct!

Solution 2:

218, 218, 218

Verification:

(218 + 218 + 218) / 3 = 654 / 3 ≈ 218

This solution is correct!

Solution 3:

241, 210, 203

Verification:

(241 + 210 + 203) / 3 = 654 / 3 ≈ 218

This solution is correct!

Solution 4:

416, 40, 198

Verification:

(416 + 40 + 198) / 3 = 654 / 3 ≈ 218

This solution is correct!

Solution 5:

120, 189, 345

Verification:

(120 + 189 + 345) / 3 = 654 / 3 ≈ 218

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 = 63What three numbers have an average of 63 ?
(X+Y+Z) / 3 = 69What three numbers have an average of 69 ?
(X+Y+Z) / 3 = 228What three numbers have an average of 228 ?

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