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:

129, 352, 716

Verification:

(129 + 352 + 716) / 3 = 1197 / 3 ≈ 399

This solution is correct!

Solution 4:

854, 134, 209

Verification:

(854 + 134 + 209) / 3 = 1197 / 3 ≈ 399

This solution is correct!

Solution 5:

57, 450, 690

Verification:

(57 + 450 + 690) / 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 = 104What three numbers have an average of 104 ?
(X+Y+Z) / 3 = 503What three numbers have an average of 503 ?
(X+Y+Z) / 3 = 800What three numbers have an average of 800 ?

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