What three numbers have an average of 306?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 306. This means if we add these three numbers together and divide by 3, we should get 306.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 306 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 306 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 918

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 918.

Solution 1:

306, 306, 306

Verification:

(306 + 306 + 306) / 3 = 918 / 3 ≈ 306

This solution is correct!

Solution 2:

306, 306, 306

Verification:

(306 + 306 + 306) / 3 = 918 / 3 ≈ 306

This solution is correct!

Solution 3:

11, 43, 864

Verification:

(11 + 43 + 864) / 3 = 918 / 3 ≈ 306

This solution is correct!

Solution 4:

188, 360, 370

Verification:

(188 + 360 + 370) / 3 = 918 / 3 ≈ 306

This solution is correct!

Solution 5:

417, 68, 433

Verification:

(417 + 68 + 433) / 3 = 918 / 3 ≈ 306

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 = 13What three numbers have an average of 13 ?
(X+Y+Z) / 3 = 498What three numbers have an average of 498 ?
(X+Y+Z) / 3 = 555What three numbers have an average of 555 ?

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