What three numbers have an average of 552?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 552. This means if we add these three numbers together and divide by 3, we should get 552.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 552 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 552 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1656

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1656.

Solution 1:

552, 552, 552

Verification:

(552 + 552 + 552) / 3 = 1656 / 3 ≈ 552

This solution is correct!

Solution 2:

552, 552, 552

Verification:

(552 + 552 + 552) / 3 = 1656 / 3 ≈ 552

This solution is correct!

Solution 3:

169, 442, 1045

Verification:

(169 + 442 + 1045) / 3 = 1656 / 3 ≈ 552

This solution is correct!

Solution 4:

17, 866, 773

Verification:

(17 + 866 + 773) / 3 = 1656 / 3 ≈ 552

This solution is correct!

Solution 5:

1298, 89, 269

Verification:

(1298 + 89 + 269) / 3 = 1656 / 3 ≈ 552

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 = 599What three numbers have an average of 599 ?
(X+Y+Z) / 3 = 138What three numbers have an average of 138 ?
(X+Y+Z) / 3 = 465What three numbers have an average of 465 ?

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