What three numbers have an average of 950?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 950. This means if we add these three numbers together and divide by 3, we should get 950.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 950 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 950 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2850

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2850.

Solution 1:

950, 950, 950

Verification:

(950 + 950 + 950) / 3 = 2850 / 3 ≈ 950

This solution is correct!

Solution 2:

950, 950, 950

Verification:

(950 + 950 + 950) / 3 = 2850 / 3 ≈ 950

This solution is correct!

Solution 3:

386, 341, 2123

Verification:

(386 + 341 + 2123) / 3 = 2850 / 3 ≈ 950

This solution is correct!

Solution 4:

104, 1214, 1532

Verification:

(104 + 1214 + 1532) / 3 = 2850 / 3 ≈ 950

This solution is correct!

Solution 5:

423, 989, 1438

Verification:

(423 + 989 + 1438) / 3 = 2850 / 3 ≈ 950

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 = 750What three numbers have an average of 750 ?
(X+Y+Z) / 3 = 209What three numbers have an average of 209 ?
(X+Y+Z) / 3 = 60What three numbers have an average of 60 ?

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