What three numbers have an average of 613?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 613. This means if we add these three numbers together and divide by 3, we should get 613.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 613 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 613 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1839

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1839.

Solution 1:

613, 613, 613

Verification:

(613 + 613 + 613) / 3 = 1839 / 3 ≈ 613

This solution is correct!

Solution 2:

613, 613, 613

Verification:

(613 + 613 + 613) / 3 = 1839 / 3 ≈ 613

This solution is correct!

Solution 3:

87, 1572, 180

Verification:

(87 + 1572 + 180) / 3 = 1839 / 3 ≈ 613

This solution is correct!

Solution 4:

612, 900, 327

Verification:

(612 + 900 + 327) / 3 = 1839 / 3 ≈ 613

This solution is correct!

Solution 5:

1818, 20, 1

Verification:

(1818 + 20 + 1) / 3 = 1839 / 3 ≈ 613

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 = 972What three numbers have an average of 972 ?
(X+Y+Z) / 3 = 415What three numbers have an average of 415 ?
(X+Y+Z) / 3 = 871What three numbers have an average of 871 ?

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