What three numbers have an average of 615?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 615. This means if we add these three numbers together and divide by 3, we should get 615.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 615 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 615 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1845

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1845.

Solution 1:

615, 615, 615

Verification:

(615 + 615 + 615) / 3 = 1845 / 3 ≈ 615

This solution is correct!

Solution 2:

615, 615, 615

Verification:

(615 + 615 + 615) / 3 = 1845 / 3 ≈ 615

This solution is correct!

Solution 3:

758, 693, 394

Verification:

(758 + 693 + 394) / 3 = 1845 / 3 ≈ 615

This solution is correct!

Solution 4:

1714, 95, 36

Verification:

(1714 + 95 + 36) / 3 = 1845 / 3 ≈ 615

This solution is correct!

Solution 5:

304, 690, 851

Verification:

(304 + 690 + 851) / 3 = 1845 / 3 ≈ 615

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 = 301What three numbers have an average of 301 ?
(X+Y+Z) / 3 = 225What three numbers have an average of 225 ?
(X+Y+Z) / 3 = 518What three numbers have an average of 518 ?

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