What three numbers have an average of 907?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 907. This means if we add these three numbers together and divide by 3, we should get 907.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 907 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 907 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2721

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2721.

Solution 1:

907, 907, 907

Verification:

(907 + 907 + 907) / 3 = 2721 / 3 ≈ 907

This solution is correct!

Solution 2:

907, 907, 907

Verification:

(907 + 907 + 907) / 3 = 2721 / 3 ≈ 907

This solution is correct!

Solution 3:

981, 1633, 107

Verification:

(981 + 1633 + 107) / 3 = 2721 / 3 ≈ 907

This solution is correct!

Solution 4:

2607, 48, 66

Verification:

(2607 + 48 + 66) / 3 = 2721 / 3 ≈ 907

This solution is correct!

Solution 5:

371, 1264, 1086

Verification:

(371 + 1264 + 1086) / 3 = 2721 / 3 ≈ 907

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 = 476What three numbers have an average of 476 ?
(X+Y+Z) / 3 = 289What three numbers have an average of 289 ?
(X+Y+Z) / 3 = 576What three numbers have an average of 576 ?

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