What three numbers have an average of 455?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 455. This means if we add these three numbers together and divide by 3, we should get 455.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 455 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 455 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1365

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1365.

Solution 1:

455, 455, 455

Verification:

(455 + 455 + 455) / 3 = 1365 / 3 ≈ 455

This solution is correct!

Solution 2:

455, 455, 455

Verification:

(455 + 455 + 455) / 3 = 1365 / 3 ≈ 455

This solution is correct!

Solution 3:

121, 1126, 118

Verification:

(121 + 1126 + 118) / 3 = 1365 / 3 ≈ 455

This solution is correct!

Solution 4:

237, 974, 154

Verification:

(237 + 974 + 154) / 3 = 1365 / 3 ≈ 455

This solution is correct!

Solution 5:

154, 640, 571

Verification:

(154 + 640 + 571) / 3 = 1365 / 3 ≈ 455

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 = 746What three numbers have an average of 746 ?
(X+Y+Z) / 3 = 575What three numbers have an average of 575 ?
(X+Y+Z) / 3 = 717What three numbers have an average of 717 ?

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