What three numbers have an average of 95?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 95. This means if we add these three numbers together and divide by 3, we should get 95.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 95 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 95 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 285

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 285.

Solution 1:

95, 95, 95

Verification:

(95 + 95 + 95) / 3 = 285 / 3 ≈ 95

This solution is correct!

Solution 2:

95, 95, 95

Verification:

(95 + 95 + 95) / 3 = 285 / 3 ≈ 95

This solution is correct!

Solution 3:

198, 34, 53

Verification:

(198 + 34 + 53) / 3 = 285 / 3 ≈ 95

This solution is correct!

Solution 4:

98, 137, 50

Verification:

(98 + 137 + 50) / 3 = 285 / 3 ≈ 95

This solution is correct!

Solution 5:

171, 92, 22

Verification:

(171 + 92 + 22) / 3 = 285 / 3 ≈ 95

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 = 799What three numbers have an average of 799 ?
(X+Y+Z) / 3 = 904What three numbers have an average of 904 ?
(X+Y+Z) / 3 = 83What three numbers have an average of 83 ?

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