What three numbers have an average of 85?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 85. This means if we add these three numbers together and divide by 3, we should get 85.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 85 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 85 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 255

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 255.

Solution 1:

85, 85, 85

Verification:

(85 + 85 + 85) / 3 = 255 / 3 ≈ 85

This solution is correct!

Solution 2:

85, 85, 85

Verification:

(85 + 85 + 85) / 3 = 255 / 3 ≈ 85

This solution is correct!

Solution 3:

122, 19, 114

Verification:

(122 + 19 + 114) / 3 = 255 / 3 ≈ 85

This solution is correct!

Solution 4:

36, 111, 108

Verification:

(36 + 111 + 108) / 3 = 255 / 3 ≈ 85

This solution is correct!

Solution 5:

117, 46, 92

Verification:

(117 + 46 + 92) / 3 = 255 / 3 ≈ 85

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 = 514What three numbers have an average of 514 ?
(X+Y+Z) / 3 = 529What three numbers have an average of 529 ?
(X+Y+Z) / 3 = 564What three numbers have an average of 564 ?

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