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:

960, 555, 1335

Verification:

(960 + 555 + 1335) / 3 = 2850 / 3 ≈ 950

This solution is correct!

Solution 4:

1620, 806, 424

Verification:

(1620 + 806 + 424) / 3 = 2850 / 3 ≈ 950

This solution is correct!

Solution 5:

2376, 332, 142

Verification:

(2376 + 332 + 142) / 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 = 195What three numbers have an average of 195 ?
(X+Y+Z) / 3 = 944What three numbers have an average of 944 ?
(X+Y+Z) / 3 = 733What three numbers have an average of 733 ?

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