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:

544, 1624, 43

Verification:

(544 + 1624 + 43) / 3 = 2211 / 3 ≈ 737

This solution is correct!

Solution 4:

1043, 508, 660

Verification:

(1043 + 508 + 660) / 3 = 2211 / 3 ≈ 737

This solution is correct!

Solution 5:

332, 1247, 632

Verification:

(332 + 1247 + 632) / 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 = 471What three numbers have an average of 471 ?
(X+Y+Z) / 3 = 422What three numbers have an average of 422 ?
(X+Y+Z) / 3 = 536What three numbers have an average of 536 ?

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