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:

472, 18, 707

Verification:

(472 + 18 + 707) / 3 = 1197 / 3 ≈ 399

This solution is correct!

Solution 4:

1170, 13, 14

Verification:

(1170 + 13 + 14) / 3 = 1197 / 3 ≈ 399

This solution is correct!

Solution 5:

37, 229, 931

Verification:

(37 + 229 + 931) / 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 = 498What three numbers have an average of 498 ?
(X+Y+Z) / 3 = 932What three numbers have an average of 932 ?
(X+Y+Z) / 3 = 715What three numbers have an average of 715 ?

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