What three numbers have an average of 151?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 151. This means if we add these three numbers together and divide by 3, we should get 151.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 151 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 151 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 453

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 453.

Solution 1:

151, 151, 151

Verification:

(151 + 151 + 151) / 3 = 453 / 3 ≈ 151

This solution is correct!

Solution 2:

151, 151, 151

Verification:

(151 + 151 + 151) / 3 = 453 / 3 ≈ 151

This solution is correct!

Solution 3:

208, 218, 27

Verification:

(208 + 218 + 27) / 3 = 453 / 3 ≈ 151

This solution is correct!

Solution 4:

45, 28, 380

Verification:

(45 + 28 + 380) / 3 = 453 / 3 ≈ 151

This solution is correct!

Solution 5:

303, 84, 66

Verification:

(303 + 84 + 66) / 3 = 453 / 3 ≈ 151

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 = 655What three numbers have an average of 655 ?
(X+Y+Z) / 3 = 850What three numbers have an average of 850 ?
(X+Y+Z) / 3 = 873What three numbers have an average of 873 ?

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