What three numbers have an average of 80?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 80. This means if we add these three numbers together and divide by 3, we should get 80.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 80 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 80 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 240

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 240.

Solution 1:

80, 80, 80

Verification:

(80 + 80 + 80) / 3 = 240 / 3 ≈ 80

This solution is correct!

Solution 2:

80, 80, 80

Verification:

(80 + 80 + 80) / 3 = 240 / 3 ≈ 80

This solution is correct!

Solution 3:

14, 142, 84

Verification:

(14 + 142 + 84) / 3 = 240 / 3 ≈ 80

This solution is correct!

Solution 4:

116, 27, 97

Verification:

(116 + 27 + 97) / 3 = 240 / 3 ≈ 80

This solution is correct!

Solution 5:

175, 21, 44

Verification:

(175 + 21 + 44) / 3 = 240 / 3 ≈ 80

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 = 216What three numbers have an average of 216 ?
(X+Y+Z) / 3 = 875What three numbers have an average of 875 ?
(X+Y+Z) / 3 = 678What three numbers have an average of 678 ?

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