What three numbers have an average of 606?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 606. This means if we add these three numbers together and divide by 3, we should get 606.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 606 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 606 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1818

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1818.

Solution 1:

606, 606, 606

Verification:

(606 + 606 + 606) / 3 = 1818 / 3 ≈ 606

This solution is correct!

Solution 2:

606, 606, 606

Verification:

(606 + 606 + 606) / 3 = 1818 / 3 ≈ 606

This solution is correct!

Solution 3:

293, 76, 1449

Verification:

(293 + 76 + 1449) / 3 = 1818 / 3 ≈ 606

This solution is correct!

Solution 4:

1551, 12, 255

Verification:

(1551 + 12 + 255) / 3 = 1818 / 3 ≈ 606

This solution is correct!

Solution 5:

581, 477, 760

Verification:

(581 + 477 + 760) / 3 = 1818 / 3 ≈ 606

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 = 270What three numbers have an average of 270 ?
(X+Y+Z) / 3 = 946What three numbers have an average of 946 ?
(X+Y+Z) / 3 = 164What three numbers have an average of 164 ?

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