What three numbers have an average of 681?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 681. This means if we add these three numbers together and divide by 3, we should get 681.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 681 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 681 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2043

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2043.

Solution 1:

681, 681, 681

Verification:

(681 + 681 + 681) / 3 = 2043 / 3 ≈ 681

This solution is correct!

Solution 2:

681, 681, 681

Verification:

(681 + 681 + 681) / 3 = 2043 / 3 ≈ 681

This solution is correct!

Solution 3:

1048, 439, 556

Verification:

(1048 + 439 + 556) / 3 = 2043 / 3 ≈ 681

This solution is correct!

Solution 4:

915, 278, 850

Verification:

(915 + 278 + 850) / 3 = 2043 / 3 ≈ 681

This solution is correct!

Solution 5:

767, 566, 710

Verification:

(767 + 566 + 710) / 3 = 2043 / 3 ≈ 681

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 = 687What three numbers have an average of 687 ?
(X+Y+Z) / 3 = 262What three numbers have an average of 262 ?
(X+Y+Z) / 3 = 270What three numbers have an average of 270 ?

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