What three numbers have an average of 79?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 79. This means if we add these three numbers together and divide by 3, we should get 79.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 79 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 79 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 237

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 237.

Solution 1:

79, 79, 79

Verification:

(79 + 79 + 79) / 3 = 237 / 3 ≈ 79

This solution is correct!

Solution 2:

79, 79, 79

Verification:

(79 + 79 + 79) / 3 = 237 / 3 ≈ 79

This solution is correct!

Solution 3:

217, 3, 17

Verification:

(217 + 3 + 17) / 3 = 237 / 3 ≈ 79

This solution is correct!

Solution 4:

196, 8, 33

Verification:

(196 + 8 + 33) / 3 = 237 / 3 ≈ 79

This solution is correct!

Solution 5:

25, 109, 103

Verification:

(25 + 109 + 103) / 3 = 237 / 3 ≈ 79

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 = 910What three numbers have an average of 910 ?
(X+Y+Z) / 3 = 417What three numbers have an average of 417 ?
(X+Y+Z) / 3 = 593What three numbers have an average of 593 ?

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