What three numbers have an average of 344?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 344. This means if we add these three numbers together and divide by 3, we should get 344.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 344 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 344 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1032

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1032.

Solution 1:

344, 344, 344

Verification:

(344 + 344 + 344) / 3 = 1032 / 3 ≈ 344

This solution is correct!

Solution 2:

344, 344, 344

Verification:

(344 + 344 + 344) / 3 = 1032 / 3 ≈ 344

This solution is correct!

Solution 3:

1019, 9, 4

Verification:

(1019 + 9 + 4) / 3 = 1032 / 3 ≈ 344

This solution is correct!

Solution 4:

630, 131, 271

Verification:

(630 + 131 + 271) / 3 = 1032 / 3 ≈ 344

This solution is correct!

Solution 5:

777, 161, 94

Verification:

(777 + 161 + 94) / 3 = 1032 / 3 ≈ 344

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 = 755What three numbers have an average of 755 ?
(X+Y+Z) / 3 = 20What three numbers have an average of 20 ?
(X+Y+Z) / 3 = 250What three numbers have an average of 250 ?

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