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:

1247, 332, 569

Verification:

(1247 + 332 + 569) / 3 = 2148 / 3 ≈ 716

This solution is correct!

Solution 4:

425, 814, 909

Verification:

(425 + 814 + 909) / 3 = 2148 / 3 ≈ 716

This solution is correct!

Solution 5:

363, 745, 1040

Verification:

(363 + 745 + 1040) / 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 = 184What three numbers have an average of 184 ?
(X+Y+Z) / 3 = 917What three numbers have an average of 917 ?
(X+Y+Z) / 3 = 39What three numbers have an average of 39 ?

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