What three numbers have an average of 348?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 348. This means if we add these three numbers together and divide by 3, we should get 348.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 348 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 348 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1044

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1044.

Solution 1:

348, 348, 348

Verification:

(348 + 348 + 348) / 3 = 1044 / 3 ≈ 348

This solution is correct!

Solution 2:

348, 348, 348

Verification:

(348 + 348 + 348) / 3 = 1044 / 3 ≈ 348

This solution is correct!

Solution 3:

134, 89, 821

Verification:

(134 + 89 + 821) / 3 = 1044 / 3 ≈ 348

This solution is correct!

Solution 4:

711, 288, 45

Verification:

(711 + 288 + 45) / 3 = 1044 / 3 ≈ 348

This solution is correct!

Solution 5:

561, 286, 197

Verification:

(561 + 286 + 197) / 3 = 1044 / 3 ≈ 348

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 = 208What three numbers have an average of 208 ?
(X+Y+Z) / 3 = 484What three numbers have an average of 484 ?
(X+Y+Z) / 3 = 209What three numbers have an average of 209 ?

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