What three numbers have an average of 794?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 794. This means if we add these three numbers together and divide by 3, we should get 794.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 794 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 794 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2382

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2382.

Solution 1:

794, 794, 794

Verification:

(794 + 794 + 794) / 3 = 2382 / 3 ≈ 794

This solution is correct!

Solution 2:

794, 794, 794

Verification:

(794 + 794 + 794) / 3 = 2382 / 3 ≈ 794

This solution is correct!

Solution 3:

456, 68, 1858

Verification:

(456 + 68 + 1858) / 3 = 2382 / 3 ≈ 794

This solution is correct!

Solution 4:

1905, 157, 320

Verification:

(1905 + 157 + 320) / 3 = 2382 / 3 ≈ 794

This solution is correct!

Solution 5:

1340, 1035, 7

Verification:

(1340 + 1035 + 7) / 3 = 2382 / 3 ≈ 794

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 = 431What three numbers have an average of 431 ?
(X+Y+Z) / 3 = 368What three numbers have an average of 368 ?
(X+Y+Z) / 3 = 955What three numbers have an average of 955 ?

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