What three numbers have an average of 235?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 235. This means if we add these three numbers together and divide by 3, we should get 235.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 235 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 235 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 705

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 705.

Solution 1:

235, 235, 235

Verification:

(235 + 235 + 235) / 3 = 705 / 3 ≈ 235

This solution is correct!

Solution 2:

235, 235, 235

Verification:

(235 + 235 + 235) / 3 = 705 / 3 ≈ 235

This solution is correct!

Solution 3:

243, 150, 312

Verification:

(243 + 150 + 312) / 3 = 705 / 3 ≈ 235

This solution is correct!

Solution 4:

37, 106, 562

Verification:

(37 + 106 + 562) / 3 = 705 / 3 ≈ 235

This solution is correct!

Solution 5:

580, 1, 124

Verification:

(580 + 1 + 124) / 3 = 705 / 3 ≈ 235

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 = 282What three numbers have an average of 282 ?
(X+Y+Z) / 3 = 198What three numbers have an average of 198 ?
(X+Y+Z) / 3 = 484What three numbers have an average of 484 ?

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