What three numbers have an average of 716?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 716. This means if we add these three numbers together and divide by 3, we should get 716.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 716 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 716 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2148

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2148.

Solution 1:

716, 716, 716

Verification:

(716 + 716 + 716) / 3 = 2148 / 3 ≈ 716

This solution is correct!

Solution 2:

716, 716, 716

Verification:

(716 + 716 + 716) / 3 = 2148 / 3 ≈ 716

This solution is correct!

Solution 3:

1976, 37, 135

Verification:

(1976 + 37 + 135) / 3 = 2148 / 3 ≈ 716

This solution is correct!

Solution 4:

1875, 108, 165

Verification:

(1875 + 108 + 165) / 3 = 2148 / 3 ≈ 716

This solution is correct!

Solution 5:

1198, 124, 826

Verification:

(1198 + 124 + 826) / 3 = 2148 / 3 ≈ 716

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 = 16What three numbers have an average of 16 ?
(X+Y+Z) / 3 = 357What three numbers have an average of 357 ?
(X+Y+Z) / 3 = 217What three numbers have an average of 217 ?

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