What three numbers have an average of 217?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 217. This means if we add these three numbers together and divide by 3, we should get 217.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 217 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 217 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 651

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 651.

Solution 1:

217, 217, 217

Verification:

(217 + 217 + 217) / 3 = 651 / 3 ≈ 217

This solution is correct!

Solution 2:

217, 217, 217

Verification:

(217 + 217 + 217) / 3 = 651 / 3 ≈ 217

This solution is correct!

Solution 3:

179, 285, 187

Verification:

(179 + 285 + 187) / 3 = 651 / 3 ≈ 217

This solution is correct!

Solution 4:

138, 268, 245

Verification:

(138 + 268 + 245) / 3 = 651 / 3 ≈ 217

This solution is correct!

Solution 5:

552, 88, 11

Verification:

(552 + 88 + 11) / 3 = 651 / 3 ≈ 217

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 = 322What three numbers have an average of 322 ?
(X+Y+Z) / 3 = 392What three numbers have an average of 392 ?
(X+Y+Z) / 3 = 372What three numbers have an average of 372 ?

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