What three numbers have an average of 241?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 241. This means if we add these three numbers together and divide by 3, we should get 241.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 241 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 241 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 723

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 723.

Solution 1:

241, 241, 241

Verification:

(241 + 241 + 241) / 3 = 723 / 3 ≈ 241

This solution is correct!

Solution 2:

241, 241, 241

Verification:

(241 + 241 + 241) / 3 = 723 / 3 ≈ 241

This solution is correct!

Solution 3:

430, 256, 37

Verification:

(430 + 256 + 37) / 3 = 723 / 3 ≈ 241

This solution is correct!

Solution 4:

310, 377, 36

Verification:

(310 + 377 + 36) / 3 = 723 / 3 ≈ 241

This solution is correct!

Solution 5:

457, 220, 46

Verification:

(457 + 220 + 46) / 3 = 723 / 3 ≈ 241

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 = 448What three numbers have an average of 448 ?
(X+Y+Z) / 3 = 379What three numbers have an average of 379 ?
(X+Y+Z) / 3 = 148What three numbers have an average of 148 ?

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