What three numbers have an average of 250?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 250. This means if we add these three numbers together and divide by 3, we should get 250.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 250 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 250 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 750

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 750.

Solution 1:

250, 250, 250

Verification:

(250 + 250 + 250) / 3 = 750 / 3 ≈ 250

This solution is correct!

Solution 2:

250, 250, 250

Verification:

(250 + 250 + 250) / 3 = 750 / 3 ≈ 250

This solution is correct!

Solution 3:

596, 40, 114

Verification:

(596 + 40 + 114) / 3 = 750 / 3 ≈ 250

This solution is correct!

Solution 4:

16, 96, 638

Verification:

(16 + 96 + 638) / 3 = 750 / 3 ≈ 250

This solution is correct!

Solution 5:

31, 163, 556

Verification:

(31 + 163 + 556) / 3 = 750 / 3 ≈ 250

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 = 285What three numbers have an average of 285 ?
(X+Y+Z) / 3 = 587What three numbers have an average of 587 ?
(X+Y+Z) / 3 = 463What three numbers have an average of 463 ?

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