What three numbers have an average of 671?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 671. This means if we add these three numbers together and divide by 3, we should get 671.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 671 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 671 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2013

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2013.

Solution 1:

671, 671, 671

Verification:

(671 + 671 + 671) / 3 = 2013 / 3 ≈ 671

This solution is correct!

Solution 2:

671, 671, 671

Verification:

(671 + 671 + 671) / 3 = 2013 / 3 ≈ 671

This solution is correct!

Solution 3:

1231, 576, 206

Verification:

(1231 + 576 + 206) / 3 = 2013 / 3 ≈ 671

This solution is correct!

Solution 4:

75, 418, 1520

Verification:

(75 + 418 + 1520) / 3 = 2013 / 3 ≈ 671

This solution is correct!

Solution 5:

1264, 342, 407

Verification:

(1264 + 342 + 407) / 3 = 2013 / 3 ≈ 671

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 = 972What three numbers have an average of 972 ?
(X+Y+Z) / 3 = 346What three numbers have an average of 346 ?
(X+Y+Z) / 3 = 83What three numbers have an average of 83 ?

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