What three numbers have an average of 718?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 718. This means if we add these three numbers together and divide by 3, we should get 718.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 718 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 718 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2154

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2154.

Solution 1:

718, 718, 718

Verification:

(718 + 718 + 718) / 3 = 2154 / 3 ≈ 718

This solution is correct!

Solution 2:

718, 718, 718

Verification:

(718 + 718 + 718) / 3 = 2154 / 3 ≈ 718

This solution is correct!

Solution 3:

1606, 152, 396

Verification:

(1606 + 152 + 396) / 3 = 2154 / 3 ≈ 718

This solution is correct!

Solution 4:

807, 432, 915

Verification:

(807 + 432 + 915) / 3 = 2154 / 3 ≈ 718

This solution is correct!

Solution 5:

203, 1202, 749

Verification:

(203 + 1202 + 749) / 3 = 2154 / 3 ≈ 718

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 = 420What three numbers have an average of 420 ?
(X+Y+Z) / 3 = 867What three numbers have an average of 867 ?
(X+Y+Z) / 3 = 121What three numbers have an average of 121 ?

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