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:

1154, 793, 558

Verification:

(1154 + 793 + 558) / 3 = 2505 / 3 ≈ 835

This solution is correct!

Solution 4:

1530, 653, 322

Verification:

(1530 + 653 + 322) / 3 = 2505 / 3 ≈ 835

This solution is correct!

Solution 5:

1631, 58, 816

Verification:

(1631 + 58 + 816) / 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 = 42What three numbers have an average of 42 ?
(X+Y+Z) / 3 = 438What three numbers have an average of 438 ?
(X+Y+Z) / 3 = 351What three numbers have an average of 351 ?

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