What three numbers have an average of 295?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 295. This means if we add these three numbers together and divide by 3, we should get 295.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 295 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 295 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 885

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 885.

Solution 1:

295, 295, 295

Verification:

(295 + 295 + 295) / 3 = 885 / 3 ≈ 295

This solution is correct!

Solution 2:

295, 295, 295

Verification:

(295 + 295 + 295) / 3 = 885 / 3 ≈ 295

This solution is correct!

Solution 3:

689, 26, 170

Verification:

(689 + 26 + 170) / 3 = 885 / 3 ≈ 295

This solution is correct!

Solution 4:

874, 3, 8

Verification:

(874 + 3 + 8) / 3 = 885 / 3 ≈ 295

This solution is correct!

Solution 5:

600, 98, 187

Verification:

(600 + 98 + 187) / 3 = 885 / 3 ≈ 295

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 = 754What three numbers have an average of 754 ?
(X+Y+Z) / 3 = 858What three numbers have an average of 858 ?
(X+Y+Z) / 3 = 366What three numbers have an average of 366 ?

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