What three numbers have an average of 833?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 833. This means if we add these three numbers together and divide by 3, we should get 833.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 833 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 833 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2499

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2499.

Solution 1:

833, 833, 833

Verification:

(833 + 833 + 833) / 3 = 2499 / 3 ≈ 833

This solution is correct!

Solution 2:

833, 833, 833

Verification:

(833 + 833 + 833) / 3 = 2499 / 3 ≈ 833

This solution is correct!

Solution 3:

2017, 310, 172

Verification:

(2017 + 310 + 172) / 3 = 2499 / 3 ≈ 833

This solution is correct!

Solution 4:

2371, 28, 100

Verification:

(2371 + 28 + 100) / 3 = 2499 / 3 ≈ 833

This solution is correct!

Solution 5:

868, 473, 1158

Verification:

(868 + 473 + 1158) / 3 = 2499 / 3 ≈ 833

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 = 577What three numbers have an average of 577 ?
(X+Y+Z) / 3 = 44What three numbers have an average of 44 ?
(X+Y+Z) / 3 = 934What three numbers have an average of 934 ?

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