What three numbers have an average of 793?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 793. This means if we add these three numbers together and divide by 3, we should get 793.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 793 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 793 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2379

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2379.

Solution 1:

793, 793, 793

Verification:

(793 + 793 + 793) / 3 = 2379 / 3 ≈ 793

This solution is correct!

Solution 2:

793, 793, 793

Verification:

(793 + 793 + 793) / 3 = 2379 / 3 ≈ 793

This solution is correct!

Solution 3:

1220, 499, 660

Verification:

(1220 + 499 + 660) / 3 = 2379 / 3 ≈ 793

This solution is correct!

Solution 4:

117, 1736, 526

Verification:

(117 + 1736 + 526) / 3 = 2379 / 3 ≈ 793

This solution is correct!

Solution 5:

2075, 3, 301

Verification:

(2075 + 3 + 301) / 3 = 2379 / 3 ≈ 793

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 = 89What three numbers have an average of 89 ?
(X+Y+Z) / 3 = 29What three numbers have an average of 29 ?
(X+Y+Z) / 3 = 410What three numbers have an average of 410 ?

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