What three numbers have an average of 859?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 859. This means if we add these three numbers together and divide by 3, we should get 859.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 859 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 859 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2577

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2577.

Solution 1:

859, 859, 859

Verification:

(859 + 859 + 859) / 3 = 2577 / 3 ≈ 859

This solution is correct!

Solution 2:

859, 859, 859

Verification:

(859 + 859 + 859) / 3 = 2577 / 3 ≈ 859

This solution is correct!

Solution 3:

1788, 204, 585

Verification:

(1788 + 204 + 585) / 3 = 2577 / 3 ≈ 859

This solution is correct!

Solution 4:

818, 1219, 540

Verification:

(818 + 1219 + 540) / 3 = 2577 / 3 ≈ 859

This solution is correct!

Solution 5:

1716, 212, 649

Verification:

(1716 + 212 + 649) / 3 = 2577 / 3 ≈ 859

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 = 537What three numbers have an average of 537 ?
(X+Y+Z) / 3 = 501What three numbers have an average of 501 ?
(X+Y+Z) / 3 = 53What three numbers have an average of 53 ?

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