What three numbers have an average of 222?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 222. This means if we add these three numbers together and divide by 3, we should get 222.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 222 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 222 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 666

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 666.

Solution 1:

222, 222, 222

Verification:

(222 + 222 + 222) / 3 = 666 / 3 ≈ 222

This solution is correct!

Solution 2:

222, 222, 222

Verification:

(222 + 222 + 222) / 3 = 666 / 3 ≈ 222

This solution is correct!

Solution 3:

124, 262, 280

Verification:

(124 + 262 + 280) / 3 = 666 / 3 ≈ 222

This solution is correct!

Solution 4:

11, 591, 64

Verification:

(11 + 591 + 64) / 3 = 666 / 3 ≈ 222

This solution is correct!

Solution 5:

283, 202, 181

Verification:

(283 + 202 + 181) / 3 = 666 / 3 ≈ 222

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 = 519What three numbers have an average of 519 ?
(X+Y+Z) / 3 = 908What three numbers have an average of 908 ?
(X+Y+Z) / 3 = 657What three numbers have an average of 657 ?

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