What three numbers have an average of 810?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 810. This means if we add these three numbers together and divide by 3, we should get 810.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 810 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 810 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2430

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2430.

Solution 1:

810, 810, 810

Verification:

(810 + 810 + 810) / 3 = 2430 / 3 ≈ 810

This solution is correct!

Solution 2:

810, 810, 810

Verification:

(810 + 810 + 810) / 3 = 2430 / 3 ≈ 810

This solution is correct!

Solution 3:

847, 447, 1136

Verification:

(847 + 447 + 1136) / 3 = 2430 / 3 ≈ 810

This solution is correct!

Solution 4:

1194, 1193, 43

Verification:

(1194 + 1193 + 43) / 3 = 2430 / 3 ≈ 810

This solution is correct!

Solution 5:

2115, 165, 150

Verification:

(2115 + 165 + 150) / 3 = 2430 / 3 ≈ 810

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 = 684What three numbers have an average of 684 ?
(X+Y+Z) / 3 = 325What three numbers have an average of 325 ?
(X+Y+Z) / 3 = 29What three numbers have an average of 29 ?

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