What three numbers have an average of 120?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 120. This means if we add these three numbers together and divide by 3, we should get 120.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 120 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 120 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 360

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 360.

Solution 1:

120, 120, 120

Verification:

(120 + 120 + 120) / 3 = 360 / 3 ≈ 120

This solution is correct!

Solution 2:

120, 120, 120

Verification:

(120 + 120 + 120) / 3 = 360 / 3 ≈ 120

This solution is correct!

Solution 3:

247, 57, 56

Verification:

(247 + 57 + 56) / 3 = 360 / 3 ≈ 120

This solution is correct!

Solution 4:

258, 97, 5

Verification:

(258 + 97 + 5) / 3 = 360 / 3 ≈ 120

This solution is correct!

Solution 5:

229, 50, 81

Verification:

(229 + 50 + 81) / 3 = 360 / 3 ≈ 120

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 = 447What three numbers have an average of 447 ?
(X+Y+Z) / 3 = 835What three numbers have an average of 835 ?
(X+Y+Z) / 3 = 707What three numbers have an average of 707 ?

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