What three numbers have an average of 305?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 305. This means if we add these three numbers together and divide by 3, we should get 305.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 305 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 305 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 915

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 915.

Solution 1:

305, 305, 305

Verification:

(305 + 305 + 305) / 3 = 915 / 3 ≈ 305

This solution is correct!

Solution 2:

305, 305, 305

Verification:

(305 + 305 + 305) / 3 = 915 / 3 ≈ 305

This solution is correct!

Solution 3:

910, 1, 4

Verification:

(910 + 1 + 4) / 3 = 915 / 3 ≈ 305

This solution is correct!

Solution 4:

605, 34, 276

Verification:

(605 + 34 + 276) / 3 = 915 / 3 ≈ 305

This solution is correct!

Solution 5:

389, 509, 17

Verification:

(389 + 509 + 17) / 3 = 915 / 3 ≈ 305

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 = 547What three numbers have an average of 547 ?
(X+Y+Z) / 3 = 343What three numbers have an average of 343 ?
(X+Y+Z) / 3 = 267What three numbers have an average of 267 ?

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