What three numbers have an average of 741?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 741. This means if we add these three numbers together and divide by 3, we should get 741.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 741 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 741 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2223

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2223.

Solution 1:

741, 741, 741

Verification:

(741 + 741 + 741) / 3 = 2223 / 3 ≈ 741

This solution is correct!

Solution 2:

741, 741, 741

Verification:

(741 + 741 + 741) / 3 = 2223 / 3 ≈ 741

This solution is correct!

Solution 3:

1581, 624, 18

Verification:

(1581 + 624 + 18) / 3 = 2223 / 3 ≈ 741

This solution is correct!

Solution 4:

377, 429, 1417

Verification:

(377 + 429 + 1417) / 3 = 2223 / 3 ≈ 741

This solution is correct!

Solution 5:

1105, 594, 524

Verification:

(1105 + 594 + 524) / 3 = 2223 / 3 ≈ 741

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 = 621What three numbers have an average of 621 ?
(X+Y+Z) / 3 = 262What three numbers have an average of 262 ?
(X+Y+Z) / 3 = 546What three numbers have an average of 546 ?

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