What three numbers have an average of 612?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 612. This means if we add these three numbers together and divide by 3, we should get 612.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 612 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 612 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1836

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1836.

Solution 1:

612, 612, 612

Verification:

(612 + 612 + 612) / 3 = 1836 / 3 ≈ 612

This solution is correct!

Solution 2:

612, 612, 612

Verification:

(612 + 612 + 612) / 3 = 1836 / 3 ≈ 612

This solution is correct!

Solution 3:

14, 1087, 735

Verification:

(14 + 1087 + 735) / 3 = 1836 / 3 ≈ 612

This solution is correct!

Solution 4:

301, 787, 748

Verification:

(301 + 787 + 748) / 3 = 1836 / 3 ≈ 612

This solution is correct!

Solution 5:

1067, 554, 215

Verification:

(1067 + 554 + 215) / 3 = 1836 / 3 ≈ 612

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 = 774What three numbers have an average of 774 ?
(X+Y+Z) / 3 = 295What three numbers have an average of 295 ?
(X+Y+Z) / 3 = 335What three numbers have an average of 335 ?

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