What three numbers have an average of 234?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 234. This means if we add these three numbers together and divide by 3, we should get 234.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 234 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 234 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 702

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 702.

Solution 1:

234, 234, 234

Verification:

(234 + 234 + 234) / 3 = 702 / 3 ≈ 234

This solution is correct!

Solution 2:

234, 234, 234

Verification:

(234 + 234 + 234) / 3 = 702 / 3 ≈ 234

This solution is correct!

Solution 3:

610, 27, 65

Verification:

(610 + 27 + 65) / 3 = 702 / 3 ≈ 234

This solution is correct!

Solution 4:

416, 46, 240

Verification:

(416 + 46 + 240) / 3 = 702 / 3 ≈ 234

This solution is correct!

Solution 5:

690, 4, 8

Verification:

(690 + 4 + 8) / 3 = 702 / 3 ≈ 234

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 = 913What three numbers have an average of 913 ?
(X+Y+Z) / 3 = 174What three numbers have an average of 174 ?
(X+Y+Z) / 3 = 793What three numbers have an average of 793 ?

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