What three numbers have an average of 251?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 251. This means if we add these three numbers together and divide by 3, we should get 251.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 251 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 251 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 753

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 753.

Solution 1:

251, 251, 251

Verification:

(251 + 251 + 251) / 3 = 753 / 3 ≈ 251

This solution is correct!

Solution 2:

251, 251, 251

Verification:

(251 + 251 + 251) / 3 = 753 / 3 ≈ 251

This solution is correct!

Solution 3:

685, 42, 26

Verification:

(685 + 42 + 26) / 3 = 753 / 3 ≈ 251

This solution is correct!

Solution 4:

156, 50, 547

Verification:

(156 + 50 + 547) / 3 = 753 / 3 ≈ 251

This solution is correct!

Solution 5:

417, 9, 327

Verification:

(417 + 9 + 327) / 3 = 753 / 3 ≈ 251

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 = 63What three numbers have an average of 63 ?
(X+Y+Z) / 3 = 556What three numbers have an average of 556 ?
(X+Y+Z) / 3 = 139What three numbers have an average of 139 ?

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