What three numbers have an average of 51?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 51. This means if we add these three numbers together and divide by 3, we should get 51.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 51 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 51 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 153

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 153.

Solution 1:

51, 51, 51

Verification:

(51 + 51 + 51) / 3 = 153 / 3 ≈ 51

This solution is correct!

Solution 2:

51, 51, 51

Verification:

(51 + 51 + 51) / 3 = 153 / 3 ≈ 51

This solution is correct!

Solution 3:

127, 11, 15

Verification:

(127 + 11 + 15) / 3 = 153 / 3 ≈ 51

This solution is correct!

Solution 4:

122, 7, 24

Verification:

(122 + 7 + 24) / 3 = 153 / 3 ≈ 51

This solution is correct!

Solution 5:

51, 93, 9

Verification:

(51 + 93 + 9) / 3 = 153 / 3 ≈ 51

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 = 606What three numbers have an average of 606 ?
(X+Y+Z) / 3 = 617What three numbers have an average of 617 ?
(X+Y+Z) / 3 = 593What three numbers have an average of 593 ?

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