What three numbers have an average of 626?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 626. This means if we add these three numbers together and divide by 3, we should get 626.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 626 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 626 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1878

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1878.

Solution 1:

626, 626, 626

Verification:

(626 + 626 + 626) / 3 = 1878 / 3 ≈ 626

This solution is correct!

Solution 2:

626, 626, 626

Verification:

(626 + 626 + 626) / 3 = 1878 / 3 ≈ 626

This solution is correct!

Solution 3:

804, 297, 777

Verification:

(804 + 297 + 777) / 3 = 1878 / 3 ≈ 626

This solution is correct!

Solution 4:

909, 188, 781

Verification:

(909 + 188 + 781) / 3 = 1878 / 3 ≈ 626

This solution is correct!

Solution 5:

345, 114, 1419

Verification:

(345 + 114 + 1419) / 3 = 1878 / 3 ≈ 626

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 = 106What three numbers have an average of 106 ?
(X+Y+Z) / 3 = 553What three numbers have an average of 553 ?
(X+Y+Z) / 3 = 580What three numbers have an average of 580 ?

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