What three numbers have an average of 835?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 835. This means if we add these three numbers together and divide by 3, we should get 835.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 835 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 835 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2505

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2505.

Solution 1:

835, 835, 835

Verification:

(835 + 835 + 835) / 3 = 2505 / 3 ≈ 835

This solution is correct!

Solution 2:

835, 835, 835

Verification:

(835 + 835 + 835) / 3 = 2505 / 3 ≈ 835

This solution is correct!

Solution 3:

760, 737, 1008

Verification:

(760 + 737 + 1008) / 3 = 2505 / 3 ≈ 835

This solution is correct!

Solution 4:

1105, 349, 1051

Verification:

(1105 + 349 + 1051) / 3 = 2505 / 3 ≈ 835

This solution is correct!

Solution 5:

2081, 328, 96

Verification:

(2081 + 328 + 96) / 3 = 2505 / 3 ≈ 835

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 = 209What three numbers have an average of 209 ?
(X+Y+Z) / 3 = 963What three numbers have an average of 963 ?
(X+Y+Z) / 3 = 13What three numbers have an average of 13 ?

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