What three numbers have an average of 94?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 94. This means if we add these three numbers together and divide by 3, we should get 94.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 94 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 94 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 282

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 282.

Solution 1:

94, 94, 94

Verification:

(94 + 94 + 94) / 3 = 282 / 3 ≈ 94

This solution is correct!

Solution 2:

94, 94, 94

Verification:

(94 + 94 + 94) / 3 = 282 / 3 ≈ 94

This solution is correct!

Solution 3:

118, 123, 41

Verification:

(118 + 123 + 41) / 3 = 282 / 3 ≈ 94

This solution is correct!

Solution 4:

150, 12, 120

Verification:

(150 + 12 + 120) / 3 = 282 / 3 ≈ 94

This solution is correct!

Solution 5:

207, 43, 32

Verification:

(207 + 43 + 32) / 3 = 282 / 3 ≈ 94

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 = 184What three numbers have an average of 184 ?
(X+Y+Z) / 3 = 185What three numbers have an average of 185 ?
(X+Y+Z) / 3 = 374What three numbers have an average of 374 ?

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