What three numbers have an average of 801?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 801. This means if we add these three numbers together and divide by 3, we should get 801.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 801 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 801 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2403

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2403.

Solution 1:

801, 801, 801

Verification:

(801 + 801 + 801) / 3 = 2403 / 3 ≈ 801

This solution is correct!

Solution 2:

801, 801, 801

Verification:

(801 + 801 + 801) / 3 = 2403 / 3 ≈ 801

This solution is correct!

Solution 3:

1936, 358, 109

Verification:

(1936 + 358 + 109) / 3 = 2403 / 3 ≈ 801

This solution is correct!

Solution 4:

1260, 468, 675

Verification:

(1260 + 468 + 675) / 3 = 2403 / 3 ≈ 801

This solution is correct!

Solution 5:

2106, 233, 64

Verification:

(2106 + 233 + 64) / 3 = 2403 / 3 ≈ 801

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 = 222What three numbers have an average of 222 ?
(X+Y+Z) / 3 = 241What three numbers have an average of 241 ?
(X+Y+Z) / 3 = 427What three numbers have an average of 427 ?

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