What three numbers have an average of 812?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 812. This means if we add these three numbers together and divide by 3, we should get 812.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 812 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 812 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2436

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2436.

Solution 1:

812, 812, 812

Verification:

(812 + 812 + 812) / 3 = 2436 / 3 ≈ 812

This solution is correct!

Solution 2:

812, 812, 812

Verification:

(812 + 812 + 812) / 3 = 2436 / 3 ≈ 812

This solution is correct!

Solution 3:

1233, 1024, 179

Verification:

(1233 + 1024 + 179) / 3 = 2436 / 3 ≈ 812

This solution is correct!

Solution 4:

1524, 389, 523

Verification:

(1524 + 389 + 523) / 3 = 2436 / 3 ≈ 812

This solution is correct!

Solution 5:

1433, 384, 619

Verification:

(1433 + 384 + 619) / 3 = 2436 / 3 ≈ 812

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 = 60What three numbers have an average of 60 ?
(X+Y+Z) / 3 = 61What three numbers have an average of 61 ?
(X+Y+Z) / 3 = 167What three numbers have an average of 167 ?

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