What three numbers have an average of 808?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 808. This means if we add these three numbers together and divide by 3, we should get 808.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 808 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 808 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2424

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2424.

Solution 1:

808, 808, 808

Verification:

(808 + 808 + 808) / 3 = 2424 / 3 ≈ 808

This solution is correct!

Solution 2:

808, 808, 808

Verification:

(808 + 808 + 808) / 3 = 2424 / 3 ≈ 808

This solution is correct!

Solution 3:

970, 702, 752

Verification:

(970 + 702 + 752) / 3 = 2424 / 3 ≈ 808

This solution is correct!

Solution 4:

100, 635, 1689

Verification:

(100 + 635 + 1689) / 3 = 2424 / 3 ≈ 808

This solution is correct!

Solution 5:

2209, 205, 10

Verification:

(2209 + 205 + 10) / 3 = 2424 / 3 ≈ 808

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 = 151What three numbers have an average of 151 ?
(X+Y+Z) / 3 = 571What three numbers have an average of 571 ?
(X+Y+Z) / 3 = 49What three numbers have an average of 49 ?

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