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:

1096, 347, 522

Verification:

(1096 + 347 + 522) / 3 = 1965 / 3 ≈ 655

This solution is correct!

Solution 4:

359, 396, 1210

Verification:

(359 + 396 + 1210) / 3 = 1965 / 3 ≈ 655

This solution is correct!

Solution 5:

1393, 300, 272

Verification:

(1393 + 300 + 272) / 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 = 983What three numbers have an average of 983 ?
(X+Y+Z) / 3 = 741What three numbers have an average of 741 ?
(X+Y+Z) / 3 = 482What three numbers have an average of 482 ?

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