What three numbers have an average of 355?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 355. This means if we add these three numbers together and divide by 3, we should get 355.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 355 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 355 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1065

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1065.

Solution 1:

355, 355, 355

Verification:

(355 + 355 + 355) / 3 = 1065 / 3 ≈ 355

This solution is correct!

Solution 2:

355, 355, 355

Verification:

(355 + 355 + 355) / 3 = 1065 / 3 ≈ 355

This solution is correct!

Solution 3:

629, 46, 390

Verification:

(629 + 46 + 390) / 3 = 1065 / 3 ≈ 355

This solution is correct!

Solution 4:

148, 96, 821

Verification:

(148 + 96 + 821) / 3 = 1065 / 3 ≈ 355

This solution is correct!

Solution 5:

472, 374, 219

Verification:

(472 + 374 + 219) / 3 = 1065 / 3 ≈ 355

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 = 523What three numbers have an average of 523 ?
(X+Y+Z) / 3 = 300What three numbers have an average of 300 ?
(X+Y+Z) / 3 = 73What three numbers have an average of 73 ?

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