What three numbers have an average of 694?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 694. This means if we add these three numbers together and divide by 3, we should get 694.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 694 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 694 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2082

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2082.

Solution 1:

694, 694, 694

Verification:

(694 + 694 + 694) / 3 = 2082 / 3 ≈ 694

This solution is correct!

Solution 2:

694, 694, 694

Verification:

(694 + 694 + 694) / 3 = 2082 / 3 ≈ 694

This solution is correct!

Solution 3:

1905, 162, 15

Verification:

(1905 + 162 + 15) / 3 = 2082 / 3 ≈ 694

This solution is correct!

Solution 4:

1290, 361, 431

Verification:

(1290 + 361 + 431) / 3 = 2082 / 3 ≈ 694

This solution is correct!

Solution 5:

1129, 30, 923

Verification:

(1129 + 30 + 923) / 3 = 2082 / 3 ≈ 694

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 = 557What three numbers have an average of 557 ?
(X+Y+Z) / 3 = 970What three numbers have an average of 970 ?
(X+Y+Z) / 3 = 496What three numbers have an average of 496 ?

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