What three numbers have an average of 949?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 949. This means if we add these three numbers together and divide by 3, we should get 949.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 949 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 949 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2847

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2847.

Solution 1:

949, 949, 949

Verification:

(949 + 949 + 949) / 3 = 2847 / 3 ≈ 949

This solution is correct!

Solution 2:

949, 949, 949

Verification:

(949 + 949 + 949) / 3 = 2847 / 3 ≈ 949

This solution is correct!

Solution 3:

407, 205, 2235

Verification:

(407 + 205 + 2235) / 3 = 2847 / 3 ≈ 949

This solution is correct!

Solution 4:

2282, 271, 294

Verification:

(2282 + 271 + 294) / 3 = 2847 / 3 ≈ 949

This solution is correct!

Solution 5:

1932, 325, 590

Verification:

(1932 + 325 + 590) / 3 = 2847 / 3 ≈ 949

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 = 203What three numbers have an average of 203 ?
(X+Y+Z) / 3 = 333What three numbers have an average of 333 ?
(X+Y+Z) / 3 = 790What three numbers have an average of 790 ?

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