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:

90, 406, 425

Verification:

(90 + 406 + 425) / 3 = 921 / 3 ≈ 307

This solution is correct!

Solution 4:

720, 127, 74

Verification:

(720 + 127 + 74) / 3 = 921 / 3 ≈ 307

This solution is correct!

Solution 5:

787, 47, 87

Verification:

(787 + 47 + 87) / 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 = 206What three numbers have an average of 206 ?
(X+Y+Z) / 3 = 758What three numbers have an average of 758 ?
(X+Y+Z) / 3 = 194What three numbers have an average of 194 ?

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