What three numbers have an average of 307?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 307. This means if we add these three numbers together and divide by 3, we should get 307.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 307 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 307 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 921

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 921.

Solution 1:

307, 307, 307

Verification:

(307 + 307 + 307) / 3 = 921 / 3 ≈ 307

This solution is correct!

Solution 2:

307, 307, 307

Verification:

(307 + 307 + 307) / 3 = 921 / 3 ≈ 307

This solution is correct!

Solution 3:

559, 176, 186

Verification:

(559 + 176 + 186) / 3 = 921 / 3 ≈ 307

This solution is correct!

Solution 4:

479, 347, 95

Verification:

(479 + 347 + 95) / 3 = 921 / 3 ≈ 307

This solution is correct!

Solution 5:

252, 463, 206

Verification:

(252 + 463 + 206) / 3 = 921 / 3 ≈ 307

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 = 56What three numbers have an average of 56 ?
(X+Y+Z) / 3 = 491What three numbers have an average of 491 ?
(X+Y+Z) / 3 = 244What three numbers have an average of 244 ?

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