What three numbers have an average of 117?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 117. This means if we add these three numbers together and divide by 3, we should get 117.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 117 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 117 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 351

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 351.

Solution 1:

117, 117, 117

Verification:

(117 + 117 + 117) / 3 = 351 / 3 ≈ 117

This solution is correct!

Solution 2:

117, 117, 117

Verification:

(117 + 117 + 117) / 3 = 351 / 3 ≈ 117

This solution is correct!

Solution 3:

283, 56, 12

Verification:

(283 + 56 + 12) / 3 = 351 / 3 ≈ 117

This solution is correct!

Solution 4:

308, 18, 25

Verification:

(308 + 18 + 25) / 3 = 351 / 3 ≈ 117

This solution is correct!

Solution 5:

293, 13, 45

Verification:

(293 + 13 + 45) / 3 = 351 / 3 ≈ 117

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 = 880What three numbers have an average of 880 ?
(X+Y+Z) / 3 = 430What three numbers have an average of 430 ?
(X+Y+Z) / 3 = 185What three numbers have an average of 185 ?

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