What three numbers have an average of 68?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 68. This means if we add these three numbers together and divide by 3, we should get 68.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 68 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 68 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 204

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 204.

Solution 1:

68, 68, 68

Verification:

(68 + 68 + 68) / 3 = 204 / 3 ≈ 68

This solution is correct!

Solution 2:

68, 68, 68

Verification:

(68 + 68 + 68) / 3 = 204 / 3 ≈ 68

This solution is correct!

Solution 3:

171, 22, 11

Verification:

(171 + 22 + 11) / 3 = 204 / 3 ≈ 68

This solution is correct!

Solution 4:

27, 89, 88

Verification:

(27 + 89 + 88) / 3 = 204 / 3 ≈ 68

This solution is correct!

Solution 5:

40, 46, 118

Verification:

(40 + 46 + 118) / 3 = 204 / 3 ≈ 68

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 = 625What three numbers have an average of 625 ?
(X+Y+Z) / 3 = 439What three numbers have an average of 439 ?
(X+Y+Z) / 3 = 330What three numbers have an average of 330 ?

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