What three numbers have an average of 111?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 111. This means if we add these three numbers together and divide by 3, we should get 111.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 111 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 111 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 333

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 333.

Solution 1:

111, 111, 111

Verification:

(111 + 111 + 111) / 3 = 333 / 3 ≈ 111

This solution is correct!

Solution 2:

111, 111, 111

Verification:

(111 + 111 + 111) / 3 = 333 / 3 ≈ 111

This solution is correct!

Solution 3:

115, 133, 85

Verification:

(115 + 133 + 85) / 3 = 333 / 3 ≈ 111

This solution is correct!

Solution 4:

236, 58, 39

Verification:

(236 + 58 + 39) / 3 = 333 / 3 ≈ 111

This solution is correct!

Solution 5:

246, 26, 61

Verification:

(246 + 26 + 61) / 3 = 333 / 3 ≈ 111

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 = 662What three numbers have an average of 662 ?
(X+Y+Z) / 3 = 946What three numbers have an average of 946 ?
(X+Y+Z) / 3 = 528What three numbers have an average of 528 ?

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