What three numbers have an average of 595?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 595. This means if we add these three numbers together and divide by 3, we should get 595.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 595 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 595 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1785

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1785.

Solution 1:

595, 595, 595

Verification:

(595 + 595 + 595) / 3 = 1785 / 3 ≈ 595

This solution is correct!

Solution 2:

595, 595, 595

Verification:

(595 + 595 + 595) / 3 = 1785 / 3 ≈ 595

This solution is correct!

Solution 3:

382, 1009, 394

Verification:

(382 + 1009 + 394) / 3 = 1785 / 3 ≈ 595

This solution is correct!

Solution 4:

88, 584, 1113

Verification:

(88 + 584 + 1113) / 3 = 1785 / 3 ≈ 595

This solution is correct!

Solution 5:

1615, 125, 45

Verification:

(1615 + 125 + 45) / 3 = 1785 / 3 ≈ 595

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 = 808What three numbers have an average of 808 ?
(X+Y+Z) / 3 = 751What three numbers have an average of 751 ?
(X+Y+Z) / 3 = 435What three numbers have an average of 435 ?

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