What three numbers have an average of 243?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 243. This means if we add these three numbers together and divide by 3, we should get 243.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 243 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 243 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 729

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 729.

Solution 1:

243, 243, 243

Verification:

(243 + 243 + 243) / 3 = 729 / 3 ≈ 243

This solution is correct!

Solution 2:

243, 243, 243

Verification:

(243 + 243 + 243) / 3 = 729 / 3 ≈ 243

This solution is correct!

Solution 3:

523, 67, 139

Verification:

(523 + 67 + 139) / 3 = 729 / 3 ≈ 243

This solution is correct!

Solution 4:

349, 331, 49

Verification:

(349 + 331 + 49) / 3 = 729 / 3 ≈ 243

This solution is correct!

Solution 5:

554, 40, 135

Verification:

(554 + 40 + 135) / 3 = 729 / 3 ≈ 243

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 = 602What three numbers have an average of 602 ?
(X+Y+Z) / 3 = 675What three numbers have an average of 675 ?
(X+Y+Z) / 3 = 175What three numbers have an average of 175 ?

Average Calculator

About | Privacy Policy | Disclaimer | Contact

Copyright 2024 - © AverageOf.com