What three numbers have an average of 673?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 673. This means if we add these three numbers together and divide by 3, we should get 673.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 673 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 673 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2019

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2019.

Solution 1:

673, 673, 673

Verification:

(673 + 673 + 673) / 3 = 2019 / 3 ≈ 673

This solution is correct!

Solution 2:

673, 673, 673

Verification:

(673 + 673 + 673) / 3 = 2019 / 3 ≈ 673

This solution is correct!

Solution 3:

1346, 40, 633

Verification:

(1346 + 40 + 633) / 3 = 2019 / 3 ≈ 673

This solution is correct!

Solution 4:

1435, 458, 126

Verification:

(1435 + 458 + 126) / 3 = 2019 / 3 ≈ 673

This solution is correct!

Solution 5:

887, 487, 645

Verification:

(887 + 487 + 645) / 3 = 2019 / 3 ≈ 673

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 = 244What three numbers have an average of 244 ?
(X+Y+Z) / 3 = 279What three numbers have an average of 279 ?
(X+Y+Z) / 3 = 963What three numbers have an average of 963 ?

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