What three numbers have an average of 836?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 836. This means if we add these three numbers together and divide by 3, we should get 836.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 836 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 836 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2508

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2508.

Solution 1:

836, 836, 836

Verification:

(836 + 836 + 836) / 3 = 2508 / 3 ≈ 836

This solution is correct!

Solution 2:

836, 836, 836

Verification:

(836 + 836 + 836) / 3 = 2508 / 3 ≈ 836

This solution is correct!

Solution 3:

2143, 230, 135

Verification:

(2143 + 230 + 135) / 3 = 2508 / 3 ≈ 836

This solution is correct!

Solution 4:

2158, 174, 176

Verification:

(2158 + 174 + 176) / 3 = 2508 / 3 ≈ 836

This solution is correct!

Solution 5:

2217, 233, 58

Verification:

(2217 + 233 + 58) / 3 = 2508 / 3 ≈ 836

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 = 426What three numbers have an average of 426 ?
(X+Y+Z) / 3 = 368What three numbers have an average of 368 ?
(X+Y+Z) / 3 = 755What three numbers have an average of 755 ?

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