What three numbers have an average of 395?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 395. This means if we add these three numbers together and divide by 3, we should get 395.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 395 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 395 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1185

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1185.

Solution 1:

395, 395, 395

Verification:

(395 + 395 + 395) / 3 = 1185 / 3 ≈ 395

This solution is correct!

Solution 2:

395, 395, 395

Verification:

(395 + 395 + 395) / 3 = 1185 / 3 ≈ 395

This solution is correct!

Solution 3:

160, 47, 978

Verification:

(160 + 47 + 978) / 3 = 1185 / 3 ≈ 395

This solution is correct!

Solution 4:

675, 148, 362

Verification:

(675 + 148 + 362) / 3 = 1185 / 3 ≈ 395

This solution is correct!

Solution 5:

774, 195, 216

Verification:

(774 + 195 + 216) / 3 = 1185 / 3 ≈ 395

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 = 218What three numbers have an average of 218 ?
(X+Y+Z) / 3 = 969What three numbers have an average of 969 ?
(X+Y+Z) / 3 = 82What three numbers have an average of 82 ?

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