What three numbers have an average of 112?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 112. This means if we add these three numbers together and divide by 3, we should get 112.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 112 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 112 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 336

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 336.

Solution 1:

112, 112, 112

Verification:

(112 + 112 + 112) / 3 = 336 / 3 ≈ 112

This solution is correct!

Solution 2:

112, 112, 112

Verification:

(112 + 112 + 112) / 3 = 336 / 3 ≈ 112

This solution is correct!

Solution 3:

64, 135, 137

Verification:

(64 + 135 + 137) / 3 = 336 / 3 ≈ 112

This solution is correct!

Solution 4:

286, 17, 33

Verification:

(286 + 17 + 33) / 3 = 336 / 3 ≈ 112

This solution is correct!

Solution 5:

142, 90, 104

Verification:

(142 + 90 + 104) / 3 = 336 / 3 ≈ 112

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 = 142What three numbers have an average of 142 ?
(X+Y+Z) / 3 = 931What three numbers have an average of 931 ?
(X+Y+Z) / 3 = 671What three numbers have an average of 671 ?

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