What three numbers have an average of 238?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 238. This means if we add these three numbers together and divide by 3, we should get 238.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 238 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 238 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 714

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 714.

Solution 1:

238, 238, 238

Verification:

(238 + 238 + 238) / 3 = 714 / 3 ≈ 238

This solution is correct!

Solution 2:

238, 238, 238

Verification:

(238 + 238 + 238) / 3 = 714 / 3 ≈ 238

This solution is correct!

Solution 3:

168, 480, 66

Verification:

(168 + 480 + 66) / 3 = 714 / 3 ≈ 238

This solution is correct!

Solution 4:

478, 116, 120

Verification:

(478 + 116 + 120) / 3 = 714 / 3 ≈ 238

This solution is correct!

Solution 5:

74, 129, 511

Verification:

(74 + 129 + 511) / 3 = 714 / 3 ≈ 238

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 = 299What three numbers have an average of 299 ?
(X+Y+Z) / 3 = 551What three numbers have an average of 551 ?
(X+Y+Z) / 3 = 148What three numbers have an average of 148 ?

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