What three numbers have an average of 999?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 999. This means if we add these three numbers together and divide by 3, we should get 999.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 999 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 999 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2997

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2997.

Solution 1:

999, 999, 999

Verification:

(999 + 999 + 999) / 3 = 2997 / 3 ≈ 999

This solution is correct!

Solution 2:

999, 999, 999

Verification:

(999 + 999 + 999) / 3 = 2997 / 3 ≈ 999

This solution is correct!

Solution 3:

2380, 22, 595

Verification:

(2380 + 22 + 595) / 3 = 2997 / 3 ≈ 999

This solution is correct!

Solution 4:

396, 17, 2584

Verification:

(396 + 17 + 2584) / 3 = 2997 / 3 ≈ 999

This solution is correct!

Solution 5:

1602, 70, 1325

Verification:

(1602 + 70 + 1325) / 3 = 2997 / 3 ≈ 999

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 = 660What three numbers have an average of 660 ?
(X+Y+Z) / 3 = 869What three numbers have an average of 869 ?
(X+Y+Z) / 3 = 283What three numbers have an average of 283 ?

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