What three numbers have an average of 717?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 717. This means if we add these three numbers together and divide by 3, we should get 717.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 717 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 717 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2151

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2151.

Solution 1:

717, 717, 717

Verification:

(717 + 717 + 717) / 3 = 2151 / 3 ≈ 717

This solution is correct!

Solution 2:

717, 717, 717

Verification:

(717 + 717 + 717) / 3 = 2151 / 3 ≈ 717

This solution is correct!

Solution 3:

1834, 19, 298

Verification:

(1834 + 19 + 298) / 3 = 2151 / 3 ≈ 717

This solution is correct!

Solution 4:

422, 1209, 520

Verification:

(422 + 1209 + 520) / 3 = 2151 / 3 ≈ 717

This solution is correct!

Solution 5:

268, 1301, 582

Verification:

(268 + 1301 + 582) / 3 = 2151 / 3 ≈ 717

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 = 366What three numbers have an average of 366 ?
(X+Y+Z) / 3 = 400What three numbers have an average of 400 ?
(X+Y+Z) / 3 = 128What three numbers have an average of 128 ?

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