What three numbers have an average of 747?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 747. This means if we add these three numbers together and divide by 3, we should get 747.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 747 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 747 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2241

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2241.

Solution 1:

747, 747, 747

Verification:

(747 + 747 + 747) / 3 = 2241 / 3 ≈ 747

This solution is correct!

Solution 2:

747, 747, 747

Verification:

(747 + 747 + 747) / 3 = 2241 / 3 ≈ 747

This solution is correct!

Solution 3:

130, 1198, 913

Verification:

(130 + 1198 + 913) / 3 = 2241 / 3 ≈ 747

This solution is correct!

Solution 4:

1471, 172, 598

Verification:

(1471 + 172 + 598) / 3 = 2241 / 3 ≈ 747

This solution is correct!

Solution 5:

942, 582, 717

Verification:

(942 + 582 + 717) / 3 = 2241 / 3 ≈ 747

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 = 418What three numbers have an average of 418 ?
(X+Y+Z) / 3 = 421What three numbers have an average of 421 ?
(X+Y+Z) / 3 = 441What three numbers have an average of 441 ?

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