What three numbers have an average of 459?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 459. This means if we add these three numbers together and divide by 3, we should get 459.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 459 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 459 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1377

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1377.

Solution 1:

459, 459, 459

Verification:

(459 + 459 + 459) / 3 = 1377 / 3 ≈ 459

This solution is correct!

Solution 2:

459, 459, 459

Verification:

(459 + 459 + 459) / 3 = 1377 / 3 ≈ 459

This solution is correct!

Solution 3:

474, 588, 315

Verification:

(474 + 588 + 315) / 3 = 1377 / 3 ≈ 459

This solution is correct!

Solution 4:

675, 293, 409

Verification:

(675 + 293 + 409) / 3 = 1377 / 3 ≈ 459

This solution is correct!

Solution 5:

473, 454, 450

Verification:

(473 + 454 + 450) / 3 = 1377 / 3 ≈ 459

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 = 754What three numbers have an average of 754 ?
(X+Y+Z) / 3 = 79What three numbers have an average of 79 ?
(X+Y+Z) / 3 = 594What three numbers have an average of 594 ?

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