What three numbers have an average of 737?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 737. This means if we add these three numbers together and divide by 3, we should get 737.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 737 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 737 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2211

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2211.

Solution 1:

737, 737, 737

Verification:

(737 + 737 + 737) / 3 = 2211 / 3 ≈ 737

This solution is correct!

Solution 2:

737, 737, 737

Verification:

(737 + 737 + 737) / 3 = 2211 / 3 ≈ 737

This solution is correct!

Solution 3:

606, 1145, 460

Verification:

(606 + 1145 + 460) / 3 = 2211 / 3 ≈ 737

This solution is correct!

Solution 4:

1364, 507, 340

Verification:

(1364 + 507 + 340) / 3 = 2211 / 3 ≈ 737

This solution is correct!

Solution 5:

371, 712, 1128

Verification:

(371 + 712 + 1128) / 3 = 2211 / 3 ≈ 737

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 = 918What three numbers have an average of 918 ?
(X+Y+Z) / 3 = 792What three numbers have an average of 792 ?
(X+Y+Z) / 3 = 994What three numbers have an average of 994 ?

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