What three numbers have an average of 371?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 371. This means if we add these three numbers together and divide by 3, we should get 371.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 371 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 371 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1113

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1113.

Solution 1:

371, 371, 371

Verification:

(371 + 371 + 371) / 3 = 1113 / 3 ≈ 371

This solution is correct!

Solution 2:

371, 371, 371

Verification:

(371 + 371 + 371) / 3 = 1113 / 3 ≈ 371

This solution is correct!

Solution 3:

557, 208, 348

Verification:

(557 + 208 + 348) / 3 = 1113 / 3 ≈ 371

This solution is correct!

Solution 4:

1065, 45, 3

Verification:

(1065 + 45 + 3) / 3 = 1113 / 3 ≈ 371

This solution is correct!

Solution 5:

920, 10, 183

Verification:

(920 + 10 + 183) / 3 = 1113 / 3 ≈ 371

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 = 217What three numbers have an average of 217 ?
(X+Y+Z) / 3 = 148What three numbers have an average of 148 ?
(X+Y+Z) / 3 = 659What three numbers have an average of 659 ?

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