What three numbers have an average of 314?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 314. This means if we add these three numbers together and divide by 3, we should get 314.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 314 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 314 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 942

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 942.

Solution 1:

314, 314, 314

Verification:

(314 + 314 + 314) / 3 = 942 / 3 ≈ 314

This solution is correct!

Solution 2:

314, 314, 314

Verification:

(314 + 314 + 314) / 3 = 942 / 3 ≈ 314

This solution is correct!

Solution 3:

610, 251, 81

Verification:

(610 + 251 + 81) / 3 = 942 / 3 ≈ 314

This solution is correct!

Solution 4:

860, 52, 30

Verification:

(860 + 52 + 30) / 3 = 942 / 3 ≈ 314

This solution is correct!

Solution 5:

483, 167, 292

Verification:

(483 + 167 + 292) / 3 = 942 / 3 ≈ 314

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 = 473What three numbers have an average of 473 ?
(X+Y+Z) / 3 = 752What three numbers have an average of 752 ?
(X+Y+Z) / 3 = 864What three numbers have an average of 864 ?

Average Calculator

About | Privacy Policy | Disclaimer | Contact

Copyright 2024 - © AverageOf.com