What three numbers have an average of 92?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 92. This means if we add these three numbers together and divide by 3, we should get 92.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 92 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 92 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 276

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 276.

Solution 1:

92, 92, 92

Verification:

(92 + 92 + 92) / 3 = 276 / 3 ≈ 92

This solution is correct!

Solution 2:

92, 92, 92

Verification:

(92 + 92 + 92) / 3 = 276 / 3 ≈ 92

This solution is correct!

Solution 3:

259, 3, 14

Verification:

(259 + 3 + 14) / 3 = 276 / 3 ≈ 92

This solution is correct!

Solution 4:

42, 118, 116

Verification:

(42 + 118 + 116) / 3 = 276 / 3 ≈ 92

This solution is correct!

Solution 5:

23, 27, 226

Verification:

(23 + 27 + 226) / 3 = 276 / 3 ≈ 92

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 = 934What three numbers have an average of 934 ?
(X+Y+Z) / 3 = 223What three numbers have an average of 223 ?
(X+Y+Z) / 3 = 247What three numbers have an average of 247 ?

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