What three numbers have an average of 512?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 512. This means if we add these three numbers together and divide by 3, we should get 512.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 512 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 512 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1536

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1536.

Solution 1:

512, 512, 512

Verification:

(512 + 512 + 512) / 3 = 1536 / 3 ≈ 512

This solution is correct!

Solution 2:

512, 512, 512

Verification:

(512 + 512 + 512) / 3 = 1536 / 3 ≈ 512

This solution is correct!

Solution 3:

244, 116, 1176

Verification:

(244 + 116 + 1176) / 3 = 1536 / 3 ≈ 512

This solution is correct!

Solution 4:

1083, 433, 20

Verification:

(1083 + 433 + 20) / 3 = 1536 / 3 ≈ 512

This solution is correct!

Solution 5:

874, 623, 39

Verification:

(874 + 623 + 39) / 3 = 1536 / 3 ≈ 512

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 = 74What three numbers have an average of 74 ?
(X+Y+Z) / 3 = 48What three numbers have an average of 48 ?
(X+Y+Z) / 3 = 408What three numbers have an average of 408 ?

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