What three numbers have an average of 451?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 451. This means if we add these three numbers together and divide by 3, we should get 451.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 451 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 451 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1353

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1353.

Solution 1:

451, 451, 451

Verification:

(451 + 451 + 451) / 3 = 1353 / 3 ≈ 451

This solution is correct!

Solution 2:

451, 451, 451

Verification:

(451 + 451 + 451) / 3 = 1353 / 3 ≈ 451

This solution is correct!

Solution 3:

48, 821, 484

Verification:

(48 + 821 + 484) / 3 = 1353 / 3 ≈ 451

This solution is correct!

Solution 4:

812, 458, 83

Verification:

(812 + 458 + 83) / 3 = 1353 / 3 ≈ 451

This solution is correct!

Solution 5:

248, 664, 441

Verification:

(248 + 664 + 441) / 3 = 1353 / 3 ≈ 451

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 = 271What three numbers have an average of 271 ?
(X+Y+Z) / 3 = 248What three numbers have an average of 248 ?
(X+Y+Z) / 3 = 8What three numbers have an average of 8 ?

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