What three numbers have an average of 795?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 795. This means if we add these three numbers together and divide by 3, we should get 795.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 795 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 795 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2385

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2385.

Solution 1:

795, 795, 795

Verification:

(795 + 795 + 795) / 3 = 2385 / 3 ≈ 795

This solution is correct!

Solution 2:

795, 795, 795

Verification:

(795 + 795 + 795) / 3 = 2385 / 3 ≈ 795

This solution is correct!

Solution 3:

723, 671, 991

Verification:

(723 + 671 + 991) / 3 = 2385 / 3 ≈ 795

This solution is correct!

Solution 4:

847, 290, 1248

Verification:

(847 + 290 + 1248) / 3 = 2385 / 3 ≈ 795

This solution is correct!

Solution 5:

426, 574, 1385

Verification:

(426 + 574 + 1385) / 3 = 2385 / 3 ≈ 795

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 = 660What three numbers have an average of 660 ?
(X+Y+Z) / 3 = 132What three numbers have an average of 132 ?
(X+Y+Z) / 3 = 417What three numbers have an average of 417 ?

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