What three numbers have an average of 672?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 672. This means if we add these three numbers together and divide by 3, we should get 672.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 672 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 672 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2016

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2016.

Solution 1:

672, 672, 672

Verification:

(672 + 672 + 672) / 3 = 2016 / 3 ≈ 672

This solution is correct!

Solution 2:

672, 672, 672

Verification:

(672 + 672 + 672) / 3 = 2016 / 3 ≈ 672

This solution is correct!

Solution 3:

226, 511, 1279

Verification:

(226 + 511 + 1279) / 3 = 2016 / 3 ≈ 672

This solution is correct!

Solution 4:

985, 204, 827

Verification:

(985 + 204 + 827) / 3 = 2016 / 3 ≈ 672

This solution is correct!

Solution 5:

1597, 412, 7

Verification:

(1597 + 412 + 7) / 3 = 2016 / 3 ≈ 672

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 = 317What three numbers have an average of 317 ?
(X+Y+Z) / 3 = 392What three numbers have an average of 392 ?
(X+Y+Z) / 3 = 340What three numbers have an average of 340 ?

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