What three numbers have an average of 691?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 691. This means if we add these three numbers together and divide by 3, we should get 691.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 691 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 691 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2073

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2073.

Solution 1:

691, 691, 691

Verification:

(691 + 691 + 691) / 3 = 2073 / 3 ≈ 691

This solution is correct!

Solution 2:

691, 691, 691

Verification:

(691 + 691 + 691) / 3 = 2073 / 3 ≈ 691

This solution is correct!

Solution 3:

112, 1839, 122

Verification:

(112 + 1839 + 122) / 3 = 2073 / 3 ≈ 691

This solution is correct!

Solution 4:

806, 447, 820

Verification:

(806 + 447 + 820) / 3 = 2073 / 3 ≈ 691

This solution is correct!

Solution 5:

1718, 12, 343

Verification:

(1718 + 12 + 343) / 3 = 2073 / 3 ≈ 691

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 = 874What three numbers have an average of 874 ?
(X+Y+Z) / 3 = 192What three numbers have an average of 192 ?
(X+Y+Z) / 3 = 143What three numbers have an average of 143 ?

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