What three numbers have an average of 807?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 807. This means if we add these three numbers together and divide by 3, we should get 807.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 807 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 807 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2421

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2421.

Solution 1:

807, 807, 807

Verification:

(807 + 807 + 807) / 3 = 2421 / 3 ≈ 807

This solution is correct!

Solution 2:

807, 807, 807

Verification:

(807 + 807 + 807) / 3 = 2421 / 3 ≈ 807

This solution is correct!

Solution 3:

1704, 16, 701

Verification:

(1704 + 16 + 701) / 3 = 2421 / 3 ≈ 807

This solution is correct!

Solution 4:

870, 1375, 176

Verification:

(870 + 1375 + 176) / 3 = 2421 / 3 ≈ 807

This solution is correct!

Solution 5:

382, 1747, 292

Verification:

(382 + 1747 + 292) / 3 = 2421 / 3 ≈ 807

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 = 859What three numbers have an average of 859 ?
(X+Y+Z) / 3 = 420What three numbers have an average of 420 ?
(X+Y+Z) / 3 = 147What three numbers have an average of 147 ?

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