What three numbers have an average of 802?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 802. This means if we add these three numbers together and divide by 3, we should get 802.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 802 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 802 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2406

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2406.

Solution 1:

802, 802, 802

Verification:

(802 + 802 + 802) / 3 = 2406 / 3 ≈ 802

This solution is correct!

Solution 2:

802, 802, 802

Verification:

(802 + 802 + 802) / 3 = 2406 / 3 ≈ 802

This solution is correct!

Solution 3:

1659, 5, 742

Verification:

(1659 + 5 + 742) / 3 = 2406 / 3 ≈ 802

This solution is correct!

Solution 4:

307, 1177, 922

Verification:

(307 + 1177 + 922) / 3 = 2406 / 3 ≈ 802

This solution is correct!

Solution 5:

1322, 227, 857

Verification:

(1322 + 227 + 857) / 3 = 2406 / 3 ≈ 802

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 = 957What three numbers have an average of 957 ?
(X+Y+Z) / 3 = 773What three numbers have an average of 773 ?
(X+Y+Z) / 3 = 241What three numbers have an average of 241 ?

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