What three numbers have an average of 636?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 636. This means if we add these three numbers together and divide by 3, we should get 636.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 636 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 636 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1908

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1908.

Solution 1:

636, 636, 636

Verification:

(636 + 636 + 636) / 3 = 1908 / 3 ≈ 636

This solution is correct!

Solution 2:

636, 636, 636

Verification:

(636 + 636 + 636) / 3 = 1908 / 3 ≈ 636

This solution is correct!

Solution 3:

1000, 709, 199

Verification:

(1000 + 709 + 199) / 3 = 1908 / 3 ≈ 636

This solution is correct!

Solution 4:

301, 1020, 587

Verification:

(301 + 1020 + 587) / 3 = 1908 / 3 ≈ 636

This solution is correct!

Solution 5:

1496, 409, 3

Verification:

(1496 + 409 + 3) / 3 = 1908 / 3 ≈ 636

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 = 59What three numbers have an average of 59 ?
(X+Y+Z) / 3 = 643What three numbers have an average of 643 ?
(X+Y+Z) / 3 = 21What three numbers have an average of 21 ?

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