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:

492, 977, 1381

Verification:

(492 + 977 + 1381) / 3 = 2850 / 3 ≈ 950

This solution is correct!

Solution 4:

1802, 392, 656

Verification:

(1802 + 392 + 656) / 3 = 2850 / 3 ≈ 950

This solution is correct!

Solution 5:

1746, 818, 286

Verification:

(1746 + 818 + 286) / 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 = 347What three numbers have an average of 347 ?
(X+Y+Z) / 3 = 549What three numbers have an average of 549 ?
(X+Y+Z) / 3 = 358What three numbers have an average of 358 ?

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