What three numbers have an average of 556?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 556. This means if we add these three numbers together and divide by 3, we should get 556.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 556 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 556 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1668

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1668.

Solution 1:

556, 556, 556

Verification:

(556 + 556 + 556) / 3 = 1668 / 3 ≈ 556

This solution is correct!

Solution 2:

556, 556, 556

Verification:

(556 + 556 + 556) / 3 = 1668 / 3 ≈ 556

This solution is correct!

Solution 3:

8, 1525, 135

Verification:

(8 + 1525 + 135) / 3 = 1668 / 3 ≈ 556

This solution is correct!

Solution 4:

828, 27, 813

Verification:

(828 + 27 + 813) / 3 = 1668 / 3 ≈ 556

This solution is correct!

Solution 5:

516, 193, 959

Verification:

(516 + 193 + 959) / 3 = 1668 / 3 ≈ 556

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 = 402What three numbers have an average of 402 ?
(X+Y+Z) / 3 = 840What three numbers have an average of 840 ?
(X+Y+Z) / 3 = 332What three numbers have an average of 332 ?

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