What three numbers have an average of 145?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 145. This means if we add these three numbers together and divide by 3, we should get 145.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 145 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 145 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 435

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 435.

Solution 1:

145, 145, 145

Verification:

(145 + 145 + 145) / 3 = 435 / 3 ≈ 145

This solution is correct!

Solution 2:

145, 145, 145

Verification:

(145 + 145 + 145) / 3 = 435 / 3 ≈ 145

This solution is correct!

Solution 3:

105, 123, 207

Verification:

(105 + 123 + 207) / 3 = 435 / 3 ≈ 145

This solution is correct!

Solution 4:

292, 70, 73

Verification:

(292 + 70 + 73) / 3 = 435 / 3 ≈ 145

This solution is correct!

Solution 5:

136, 266, 33

Verification:

(136 + 266 + 33) / 3 = 435 / 3 ≈ 145

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 = 886What three numbers have an average of 886 ?
(X+Y+Z) / 3 = 435What three numbers have an average of 435 ?
(X+Y+Z) / 3 = 303What three numbers have an average of 303 ?

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