What three numbers have an average of 247?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 247. This means if we add these three numbers together and divide by 3, we should get 247.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 247 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 247 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 741

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 741.

Solution 1:

247, 247, 247

Verification:

(247 + 247 + 247) / 3 = 741 / 3 ≈ 247

This solution is correct!

Solution 2:

247, 247, 247

Verification:

(247 + 247 + 247) / 3 = 741 / 3 ≈ 247

This solution is correct!

Solution 3:

650, 67, 24

Verification:

(650 + 67 + 24) / 3 = 741 / 3 ≈ 247

This solution is correct!

Solution 4:

540, 176, 25

Verification:

(540 + 176 + 25) / 3 = 741 / 3 ≈ 247

This solution is correct!

Solution 5:

307, 70, 364

Verification:

(307 + 70 + 364) / 3 = 741 / 3 ≈ 247

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 = 51What three numbers have an average of 51 ?
(X+Y+Z) / 3 = 359What three numbers have an average of 359 ?
(X+Y+Z) / 3 = 551What three numbers have an average of 551 ?

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