What three numbers have an average of 935?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 935. This means if we add these three numbers together and divide by 3, we should get 935.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 935 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 935 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2805

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2805.

Solution 1:

935, 935, 935

Verification:

(935 + 935 + 935) / 3 = 2805 / 3 ≈ 935

This solution is correct!

Solution 2:

935, 935, 935

Verification:

(935 + 935 + 935) / 3 = 2805 / 3 ≈ 935

This solution is correct!

Solution 3:

2445, 104, 256

Verification:

(2445 + 104 + 256) / 3 = 2805 / 3 ≈ 935

This solution is correct!

Solution 4:

2487, 302, 16

Verification:

(2487 + 302 + 16) / 3 = 2805 / 3 ≈ 935

This solution is correct!

Solution 5:

541, 1957, 307

Verification:

(541 + 1957 + 307) / 3 = 2805 / 3 ≈ 935

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 = 598What three numbers have an average of 598 ?
(X+Y+Z) / 3 = 613What three numbers have an average of 613 ?
(X+Y+Z) / 3 = 173What three numbers have an average of 173 ?

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