What three numbers have an average of 927?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 927. This means if we add these three numbers together and divide by 3, we should get 927.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 927 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 927 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2781

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2781.

Solution 1:

927, 927, 927

Verification:

(927 + 927 + 927) / 3 = 2781 / 3 ≈ 927

This solution is correct!

Solution 2:

927, 927, 927

Verification:

(927 + 927 + 927) / 3 = 2781 / 3 ≈ 927

This solution is correct!

Solution 3:

338, 501, 1942

Verification:

(338 + 501 + 1942) / 3 = 2781 / 3 ≈ 927

This solution is correct!

Solution 4:

1909, 376, 496

Verification:

(1909 + 376 + 496) / 3 = 2781 / 3 ≈ 927

This solution is correct!

Solution 5:

315, 136, 2330

Verification:

(315 + 136 + 2330) / 3 = 2781 / 3 ≈ 927

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 = 179What three numbers have an average of 179 ?
(X+Y+Z) / 3 = 897What three numbers have an average of 897 ?
(X+Y+Z) / 3 = 254What three numbers have an average of 254 ?

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