What three numbers have an average of 790?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 790. This means if we add these three numbers together and divide by 3, we should get 790.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 790 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 790 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2370

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2370.

Solution 1:

790, 790, 790

Verification:

(790 + 790 + 790) / 3 = 2370 / 3 ≈ 790

This solution is correct!

Solution 2:

790, 790, 790

Verification:

(790 + 790 + 790) / 3 = 2370 / 3 ≈ 790

This solution is correct!

Solution 3:

1900, 419, 51

Verification:

(1900 + 419 + 51) / 3 = 2370 / 3 ≈ 790

This solution is correct!

Solution 4:

1094, 95, 1181

Verification:

(1094 + 95 + 1181) / 3 = 2370 / 3 ≈ 790

This solution is correct!

Solution 5:

1718, 77, 575

Verification:

(1718 + 77 + 575) / 3 = 2370 / 3 ≈ 790

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 = 245What three numbers have an average of 245 ?
(X+Y+Z) / 3 = 519What three numbers have an average of 519 ?
(X+Y+Z) / 3 = 749What three numbers have an average of 749 ?

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