What three numbers have an average of 221?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 221. This means if we add these three numbers together and divide by 3, we should get 221.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 221 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 221 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 663

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 663.

Solution 1:

221, 221, 221

Verification:

(221 + 221 + 221) / 3 = 663 / 3 ≈ 221

This solution is correct!

Solution 2:

221, 221, 221

Verification:

(221 + 221 + 221) / 3 = 663 / 3 ≈ 221

This solution is correct!

Solution 3:

561, 57, 45

Verification:

(561 + 57 + 45) / 3 = 663 / 3 ≈ 221

This solution is correct!

Solution 4:

207, 10, 446

Verification:

(207 + 10 + 446) / 3 = 663 / 3 ≈ 221

This solution is correct!

Solution 5:

386, 32, 245

Verification:

(386 + 32 + 245) / 3 = 663 / 3 ≈ 221

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 = 504What three numbers have an average of 504 ?
(X+Y+Z) / 3 = 402What three numbers have an average of 402 ?
(X+Y+Z) / 3 = 931What three numbers have an average of 931 ?

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