What three numbers have an average of 937?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 937. This means if we add these three numbers together and divide by 3, we should get 937.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 937 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 937 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2811

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2811.

Solution 1:

937, 937, 937

Verification:

(937 + 937 + 937) / 3 = 2811 / 3 ≈ 937

This solution is correct!

Solution 2:

937, 937, 937

Verification:

(937 + 937 + 937) / 3 = 2811 / 3 ≈ 937

This solution is correct!

Solution 3:

884, 1251, 676

Verification:

(884 + 1251 + 676) / 3 = 2811 / 3 ≈ 937

This solution is correct!

Solution 4:

1251, 325, 1235

Verification:

(1251 + 325 + 1235) / 3 = 2811 / 3 ≈ 937

This solution is correct!

Solution 5:

1052, 690, 1069

Verification:

(1052 + 690 + 1069) / 3 = 2811 / 3 ≈ 937

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 = 427What three numbers have an average of 427 ?
(X+Y+Z) / 3 = 103What three numbers have an average of 103 ?
(X+Y+Z) / 3 = 401What three numbers have an average of 401 ?

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