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:

537, 1292, 49

Verification:

(537 + 1292 + 49) / 3 = 1878 / 3 ≈ 626

This solution is correct!

Solution 4:

1027, 810, 41

Verification:

(1027 + 810 + 41) / 3 = 1878 / 3 ≈ 626

This solution is correct!

Solution 5:

1168, 70, 640

Verification:

(1168 + 70 + 640) / 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 = 920What three numbers have an average of 920 ?
(X+Y+Z) / 3 = 938What three numbers have an average of 938 ?
(X+Y+Z) / 3 = 682What three numbers have an average of 682 ?

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