What three numbers have an average of 668?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 668. This means if we add these three numbers together and divide by 3, we should get 668.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 668 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 668 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2004

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2004.

Solution 1:

668, 668, 668

Verification:

(668 + 668 + 668) / 3 = 2004 / 3 ≈ 668

This solution is correct!

Solution 2:

668, 668, 668

Verification:

(668 + 668 + 668) / 3 = 2004 / 3 ≈ 668

This solution is correct!

Solution 3:

112, 632, 1260

Verification:

(112 + 632 + 1260) / 3 = 2004 / 3 ≈ 668

This solution is correct!

Solution 4:

1572, 37, 395

Verification:

(1572 + 37 + 395) / 3 = 2004 / 3 ≈ 668

This solution is correct!

Solution 5:

516, 1051, 437

Verification:

(516 + 1051 + 437) / 3 = 2004 / 3 ≈ 668

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 = 138What three numbers have an average of 138 ?
(X+Y+Z) / 3 = 675What three numbers have an average of 675 ?
(X+Y+Z) / 3 = 186What three numbers have an average of 186 ?

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