What three numbers have an average of 676?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 676. This means if we add these three numbers together and divide by 3, we should get 676.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 676 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 676 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2028

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2028.

Solution 1:

676, 676, 676

Verification:

(676 + 676 + 676) / 3 = 2028 / 3 ≈ 676

This solution is correct!

Solution 2:

676, 676, 676

Verification:

(676 + 676 + 676) / 3 = 2028 / 3 ≈ 676

This solution is correct!

Solution 3:

1774, 27, 227

Verification:

(1774 + 27 + 227) / 3 = 2028 / 3 ≈ 676

This solution is correct!

Solution 4:

830, 194, 1004

Verification:

(830 + 194 + 1004) / 3 = 2028 / 3 ≈ 676

This solution is correct!

Solution 5:

375, 1551, 102

Verification:

(375 + 1551 + 102) / 3 = 2028 / 3 ≈ 676

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 = 817What three numbers have an average of 817 ?
(X+Y+Z) / 3 = 907What three numbers have an average of 907 ?
(X+Y+Z) / 3 = 234What three numbers have an average of 234 ?

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