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:

675, 66, 12

Verification:

(675 + 66 + 12) / 3 = 753 / 3 ≈ 251

This solution is correct!

Solution 4:

649, 46, 58

Verification:

(649 + 46 + 58) / 3 = 753 / 3 ≈ 251

This solution is correct!

Solution 5:

44, 169, 540

Verification:

(44 + 169 + 540) / 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 = 542What three numbers have an average of 542 ?
(X+Y+Z) / 3 = 122What three numbers have an average of 122 ?
(X+Y+Z) / 3 = 87What three numbers have an average of 87 ?

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