What three numbers have an average of 60?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 60. This means if we add these three numbers together and divide by 3, we should get 60.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 60 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 60 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 180

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 180.

Solution 1:

60, 60, 60

Verification:

(60 + 60 + 60) / 3 = 180 / 3 ≈ 60

This solution is correct!

Solution 2:

60, 60, 60

Verification:

(60 + 60 + 60) / 3 = 180 / 3 ≈ 60

This solution is correct!

Solution 3:

58, 2, 120

Verification:

(58 + 2 + 120) / 3 = 180 / 3 ≈ 60

This solution is correct!

Solution 4:

83, 39, 58

Verification:

(83 + 39 + 58) / 3 = 180 / 3 ≈ 60

This solution is correct!

Solution 5:

164, 8, 8

Verification:

(164 + 8 + 8) / 3 = 180 / 3 ≈ 60

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 = 294What three numbers have an average of 294 ?
(X+Y+Z) / 3 = 19What three numbers have an average of 19 ?
(X+Y+Z) / 3 = 720What three numbers have an average of 720 ?

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