What three numbers have an average of 453?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 453. This means if we add these three numbers together and divide by 3, we should get 453.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 453 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 453 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1359

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1359.

Solution 1:

453, 453, 453

Verification:

(453 + 453 + 453) / 3 = 1359 / 3 ≈ 453

This solution is correct!

Solution 2:

453, 453, 453

Verification:

(453 + 453 + 453) / 3 = 1359 / 3 ≈ 453

This solution is correct!

Solution 3:

310, 19, 1030

Verification:

(310 + 19 + 1030) / 3 = 1359 / 3 ≈ 453

This solution is correct!

Solution 4:

912, 151, 296

Verification:

(912 + 151 + 296) / 3 = 1359 / 3 ≈ 453

This solution is correct!

Solution 5:

1317, 11, 31

Verification:

(1317 + 11 + 31) / 3 = 1359 / 3 ≈ 453

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 = 714What three numbers have an average of 714 ?
(X+Y+Z) / 3 = 284What three numbers have an average of 284 ?
(X+Y+Z) / 3 = 908What three numbers have an average of 908 ?

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