What three numbers have an average of 236?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 236. This means if we add these three numbers together and divide by 3, we should get 236.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 236 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 236 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 708

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 708.

Solution 1:

236, 236, 236

Verification:

(236 + 236 + 236) / 3 = 708 / 3 ≈ 236

This solution is correct!

Solution 2:

236, 236, 236

Verification:

(236 + 236 + 236) / 3 = 708 / 3 ≈ 236

This solution is correct!

Solution 3:

614, 93, 1

Verification:

(614 + 93 + 1) / 3 = 708 / 3 ≈ 236

This solution is correct!

Solution 4:

419, 224, 65

Verification:

(419 + 224 + 65) / 3 = 708 / 3 ≈ 236

This solution is correct!

Solution 5:

255, 254, 199

Verification:

(255 + 254 + 199) / 3 = 708 / 3 ≈ 236

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 = 684What three numbers have an average of 684 ?
(X+Y+Z) / 3 = 534What three numbers have an average of 534 ?
(X+Y+Z) / 3 = 605What three numbers have an average of 605 ?

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