What three numbers have an average of 110?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 110. This means if we add these three numbers together and divide by 3, we should get 110.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 110 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 110 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 330

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 330.

Solution 1:

110, 110, 110

Verification:

(110 + 110 + 110) / 3 = 330 / 3 ≈ 110

This solution is correct!

Solution 2:

110, 110, 110

Verification:

(110 + 110 + 110) / 3 = 330 / 3 ≈ 110

This solution is correct!

Solution 3:

274, 23, 33

Verification:

(274 + 23 + 33) / 3 = 330 / 3 ≈ 110

This solution is correct!

Solution 4:

46, 97, 187

Verification:

(46 + 97 + 187) / 3 = 330 / 3 ≈ 110

This solution is correct!

Solution 5:

166, 16, 148

Verification:

(166 + 16 + 148) / 3 = 330 / 3 ≈ 110

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 = 359What three numbers have an average of 359 ?
(X+Y+Z) / 3 = 523What three numbers have an average of 523 ?
(X+Y+Z) / 3 = 864What three numbers have an average of 864 ?

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