What three numbers have an average of 745?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 745. This means if we add these three numbers together and divide by 3, we should get 745.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 745 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 745 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2235

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2235.

Solution 1:

745, 745, 745

Verification:

(745 + 745 + 745) / 3 = 2235 / 3 ≈ 745

This solution is correct!

Solution 2:

745, 745, 745

Verification:

(745 + 745 + 745) / 3 = 2235 / 3 ≈ 745

This solution is correct!

Solution 3:

311, 369, 1555

Verification:

(311 + 369 + 1555) / 3 = 2235 / 3 ≈ 745

This solution is correct!

Solution 4:

1189, 494, 552

Verification:

(1189 + 494 + 552) / 3 = 2235 / 3 ≈ 745

This solution is correct!

Solution 5:

1088, 288, 859

Verification:

(1088 + 288 + 859) / 3 = 2235 / 3 ≈ 745

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 = 391What three numbers have an average of 391 ?
(X+Y+Z) / 3 = 179What three numbers have an average of 179 ?
(X+Y+Z) / 3 = 107What three numbers have an average of 107 ?

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