What three numbers have an average of 622?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 622. This means if we add these three numbers together and divide by 3, we should get 622.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 622 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 622 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1866

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1866.

Solution 1:

622, 622, 622

Verification:

(622 + 622 + 622) / 3 = 1866 / 3 ≈ 622

This solution is correct!

Solution 2:

622, 622, 622

Verification:

(622 + 622 + 622) / 3 = 1866 / 3 ≈ 622

This solution is correct!

Solution 3:

887, 978, 1

Verification:

(887 + 978 + 1) / 3 = 1866 / 3 ≈ 622

This solution is correct!

Solution 4:

1612, 70, 184

Verification:

(1612 + 70 + 184) / 3 = 1866 / 3 ≈ 622

This solution is correct!

Solution 5:

1607, 142, 117

Verification:

(1607 + 142 + 117) / 3 = 1866 / 3 ≈ 622

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 = 631What three numbers have an average of 631 ?
(X+Y+Z) / 3 = 821What three numbers have an average of 821 ?
(X+Y+Z) / 3 = 843What three numbers have an average of 843 ?

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