What three numbers have an average of 616?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 616. This means if we add these three numbers together and divide by 3, we should get 616.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 616 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 616 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1848

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1848.

Solution 1:

616, 616, 616

Verification:

(616 + 616 + 616) / 3 = 1848 / 3 ≈ 616

This solution is correct!

Solution 2:

616, 616, 616

Verification:

(616 + 616 + 616) / 3 = 1848 / 3 ≈ 616

This solution is correct!

Solution 3:

476, 287, 1085

Verification:

(476 + 287 + 1085) / 3 = 1848 / 3 ≈ 616

This solution is correct!

Solution 4:

1377, 151, 320

Verification:

(1377 + 151 + 320) / 3 = 1848 / 3 ≈ 616

This solution is correct!

Solution 5:

1384, 440, 24

Verification:

(1384 + 440 + 24) / 3 = 1848 / 3 ≈ 616

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 = 333What three numbers have an average of 333 ?
(X+Y+Z) / 3 = 300What three numbers have an average of 300 ?
(X+Y+Z) / 3 = 364What three numbers have an average of 364 ?

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