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:

2107, 160, 157

Verification:

(2107 + 160 + 157) / 3 = 2424 / 3 ≈ 808

This solution is correct!

Solution 4:

2374, 42, 8

Verification:

(2374 + 42 + 8) / 3 = 2424 / 3 ≈ 808

This solution is correct!

Solution 5:

767, 1559, 98

Verification:

(767 + 1559 + 98) / 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 = 516What three numbers have an average of 516 ?
(X+Y+Z) / 3 = 1What three numbers have an average of 1 ?
(X+Y+Z) / 3 = 489What three numbers have an average of 489 ?

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