What three numbers have an average of 454?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 454. This means if we add these three numbers together and divide by 3, we should get 454.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 454 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 454 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1362

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1362.

Solution 1:

454, 454, 454

Verification:

(454 + 454 + 454) / 3 = 1362 / 3 ≈ 454

This solution is correct!

Solution 2:

454, 454, 454

Verification:

(454 + 454 + 454) / 3 = 1362 / 3 ≈ 454

This solution is correct!

Solution 3:

1342, 17, 3

Verification:

(1342 + 17 + 3) / 3 = 1362 / 3 ≈ 454

This solution is correct!

Solution 4:

1136, 179, 47

Verification:

(1136 + 179 + 47) / 3 = 1362 / 3 ≈ 454

This solution is correct!

Solution 5:

1240, 49, 73

Verification:

(1240 + 49 + 73) / 3 = 1362 / 3 ≈ 454

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 = 379What three numbers have an average of 379 ?
(X+Y+Z) / 3 = 513What three numbers have an average of 513 ?
(X+Y+Z) / 3 = 956What three numbers have an average of 956 ?

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