What three numbers have an average of 135?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 135. This means if we add these three numbers together and divide by 3, we should get 135.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 135 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 135 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 405

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 405.

Solution 1:

135, 135, 135

Verification:

(135 + 135 + 135) / 3 = 405 / 3 ≈ 135

This solution is correct!

Solution 2:

135, 135, 135

Verification:

(135 + 135 + 135) / 3 = 405 / 3 ≈ 135

This solution is correct!

Solution 3:

84, 170, 151

Verification:

(84 + 170 + 151) / 3 = 405 / 3 ≈ 135

This solution is correct!

Solution 4:

312, 74, 19

Verification:

(312 + 74 + 19) / 3 = 405 / 3 ≈ 135

This solution is correct!

Solution 5:

318, 11, 76

Verification:

(318 + 11 + 76) / 3 = 405 / 3 ≈ 135

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 = 341What three numbers have an average of 341 ?
(X+Y+Z) / 3 = 878What three numbers have an average of 878 ?
(X+Y+Z) / 3 = 555What three numbers have an average of 555 ?

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