What three numbers have an average of 813?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 813. This means if we add these three numbers together and divide by 3, we should get 813.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 813 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 813 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2439

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2439.

Solution 1:

813, 813, 813

Verification:

(813 + 813 + 813) / 3 = 2439 / 3 ≈ 813

This solution is correct!

Solution 2:

813, 813, 813

Verification:

(813 + 813 + 813) / 3 = 2439 / 3 ≈ 813

This solution is correct!

Solution 3:

818, 727, 894

Verification:

(818 + 727 + 894) / 3 = 2439 / 3 ≈ 813

This solution is correct!

Solution 4:

1312, 996, 131

Verification:

(1312 + 996 + 131) / 3 = 2439 / 3 ≈ 813

This solution is correct!

Solution 5:

314, 965, 1160

Verification:

(314 + 965 + 1160) / 3 = 2439 / 3 ≈ 813

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 = 533What three numbers have an average of 533 ?
(X+Y+Z) / 3 = 173What three numbers have an average of 173 ?
(X+Y+Z) / 3 = 101What three numbers have an average of 101 ?

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