What three numbers have an average of 645?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 645. This means if we add these three numbers together and divide by 3, we should get 645.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 645 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 645 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1935

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1935.

Solution 1:

645, 645, 645

Verification:

(645 + 645 + 645) / 3 = 1935 / 3 ≈ 645

This solution is correct!

Solution 2:

645, 645, 645

Verification:

(645 + 645 + 645) / 3 = 1935 / 3 ≈ 645

This solution is correct!

Solution 3:

1347, 573, 15

Verification:

(1347 + 573 + 15) / 3 = 1935 / 3 ≈ 645

This solution is correct!

Solution 4:

1821, 40, 74

Verification:

(1821 + 40 + 74) / 3 = 1935 / 3 ≈ 645

This solution is correct!

Solution 5:

1833, 9, 93

Verification:

(1833 + 9 + 93) / 3 = 1935 / 3 ≈ 645

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 = 538What three numbers have an average of 538 ?
(X+Y+Z) / 3 = 490What three numbers have an average of 490 ?
(X+Y+Z) / 3 = 444What three numbers have an average of 444 ?

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