What three numbers have an average of 620?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 620. This means if we add these three numbers together and divide by 3, we should get 620.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 620 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 620 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1860

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1860.

Solution 1:

620, 620, 620

Verification:

(620 + 620 + 620) / 3 = 1860 / 3 ≈ 620

This solution is correct!

Solution 2:

620, 620, 620

Verification:

(620 + 620 + 620) / 3 = 1860 / 3 ≈ 620

This solution is correct!

Solution 3:

682, 499, 679

Verification:

(682 + 499 + 679) / 3 = 1860 / 3 ≈ 620

This solution is correct!

Solution 4:

252, 1546, 62

Verification:

(252 + 1546 + 62) / 3 = 1860 / 3 ≈ 620

This solution is correct!

Solution 5:

1030, 316, 514

Verification:

(1030 + 316 + 514) / 3 = 1860 / 3 ≈ 620

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 = 396What three numbers have an average of 396 ?
(X+Y+Z) / 3 = 844What three numbers have an average of 844 ?
(X+Y+Z) / 3 = 133What three numbers have an average of 133 ?

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