What three numbers have an average of 248?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 248. This means if we add these three numbers together and divide by 3, we should get 248.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 248 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 248 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 744

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 744.

Solution 1:

248, 248, 248

Verification:

(248 + 248 + 248) / 3 = 744 / 3 ≈ 248

This solution is correct!

Solution 2:

248, 248, 248

Verification:

(248 + 248 + 248) / 3 = 744 / 3 ≈ 248

This solution is correct!

Solution 3:

718, 6, 20

Verification:

(718 + 6 + 20) / 3 = 744 / 3 ≈ 248

This solution is correct!

Solution 4:

160, 192, 392

Verification:

(160 + 192 + 392) / 3 = 744 / 3 ≈ 248

This solution is correct!

Solution 5:

626, 116, 2

Verification:

(626 + 116 + 2) / 3 = 744 / 3 ≈ 248

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 = 821What three numbers have an average of 821 ?
(X+Y+Z) / 3 = 110What three numbers have an average of 110 ?
(X+Y+Z) / 3 = 296What three numbers have an average of 296 ?

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