What three numbers have an average of 399?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 399. This means if we add these three numbers together and divide by 3, we should get 399.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 399 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 399 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1197

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1197.

Solution 1:

399, 399, 399

Verification:

(399 + 399 + 399) / 3 = 1197 / 3 ≈ 399

This solution is correct!

Solution 2:

399, 399, 399

Verification:

(399 + 399 + 399) / 3 = 1197 / 3 ≈ 399

This solution is correct!

Solution 3:

817, 173, 207

Verification:

(817 + 173 + 207) / 3 = 1197 / 3 ≈ 399

This solution is correct!

Solution 4:

512, 567, 118

Verification:

(512 + 567 + 118) / 3 = 1197 / 3 ≈ 399

This solution is correct!

Solution 5:

118, 935, 144

Verification:

(118 + 935 + 144) / 3 = 1197 / 3 ≈ 399

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 = 862What three numbers have an average of 862 ?
(X+Y+Z) / 3 = 822What three numbers have an average of 822 ?
(X+Y+Z) / 3 = 445What three numbers have an average of 445 ?

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