What three numbers have an average of 555?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 555. This means if we add these three numbers together and divide by 3, we should get 555.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 555 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 555 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1665

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1665.

Solution 1:

555, 555, 555

Verification:

(555 + 555 + 555) / 3 = 1665 / 3 ≈ 555

This solution is correct!

Solution 2:

555, 555, 555

Verification:

(555 + 555 + 555) / 3 = 1665 / 3 ≈ 555

This solution is correct!

Solution 3:

633, 753, 279

Verification:

(633 + 753 + 279) / 3 = 1665 / 3 ≈ 555

This solution is correct!

Solution 4:

1285, 323, 57

Verification:

(1285 + 323 + 57) / 3 = 1665 / 3 ≈ 555

This solution is correct!

Solution 5:

565, 362, 738

Verification:

(565 + 362 + 738) / 3 = 1665 / 3 ≈ 555

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 = 72What three numbers have an average of 72 ?
(X+Y+Z) / 3 = 837What three numbers have an average of 837 ?
(X+Y+Z) / 3 = 313What three numbers have an average of 313 ?

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