What three numbers have an average of 667?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 667. This means if we add these three numbers together and divide by 3, we should get 667.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 667 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 667 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2001

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2001.

Solution 1:

667, 667, 667

Verification:

(667 + 667 + 667) / 3 = 2001 / 3 ≈ 667

This solution is correct!

Solution 2:

667, 667, 667

Verification:

(667 + 667 + 667) / 3 = 2001 / 3 ≈ 667

This solution is correct!

Solution 3:

1536, 454, 11

Verification:

(1536 + 454 + 11) / 3 = 2001 / 3 ≈ 667

This solution is correct!

Solution 4:

1027, 188, 786

Verification:

(1027 + 188 + 786) / 3 = 2001 / 3 ≈ 667

This solution is correct!

Solution 5:

904, 791, 306

Verification:

(904 + 791 + 306) / 3 = 2001 / 3 ≈ 667

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 = 723What three numbers have an average of 723 ?
(X+Y+Z) / 3 = 79What three numbers have an average of 79 ?
(X+Y+Z) / 3 = 378What three numbers have an average of 378 ?

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