What three numbers have an average of 386?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 386. This means if we add these three numbers together and divide by 3, we should get 386.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 386 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 386 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1158

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1158.

Solution 1:

386, 386, 386

Verification:

(386 + 386 + 386) / 3 = 1158 / 3 ≈ 386

This solution is correct!

Solution 2:

386, 386, 386

Verification:

(386 + 386 + 386) / 3 = 1158 / 3 ≈ 386

This solution is correct!

Solution 3:

915, 229, 14

Verification:

(915 + 229 + 14) / 3 = 1158 / 3 ≈ 386

This solution is correct!

Solution 4:

420, 87, 651

Verification:

(420 + 87 + 651) / 3 = 1158 / 3 ≈ 386

This solution is correct!

Solution 5:

1119, 15, 24

Verification:

(1119 + 15 + 24) / 3 = 1158 / 3 ≈ 386

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 = 102What three numbers have an average of 102 ?
(X+Y+Z) / 3 = 197What three numbers have an average of 197 ?
(X+Y+Z) / 3 = 770What three numbers have an average of 770 ?

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