What three numbers have an average of 655?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 655. This means if we add these three numbers together and divide by 3, we should get 655.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 655 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 655 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1965

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1965.

Solution 1:

655, 655, 655

Verification:

(655 + 655 + 655) / 3 = 1965 / 3 ≈ 655

This solution is correct!

Solution 2:

655, 655, 655

Verification:

(655 + 655 + 655) / 3 = 1965 / 3 ≈ 655

This solution is correct!

Solution 3:

1878, 15, 72

Verification:

(1878 + 15 + 72) / 3 = 1965 / 3 ≈ 655

This solution is correct!

Solution 4:

1404, 432, 129

Verification:

(1404 + 432 + 129) / 3 = 1965 / 3 ≈ 655

This solution is correct!

Solution 5:

862, 968, 135

Verification:

(862 + 968 + 135) / 3 = 1965 / 3 ≈ 655

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 = 586What three numbers have an average of 586 ?
(X+Y+Z) / 3 = 568What three numbers have an average of 568 ?
(X+Y+Z) / 3 = 858What three numbers have an average of 858 ?

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