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:

1670, 271, 294

Verification:

(1670 + 271 + 294) / 3 = 2235 / 3 ≈ 745

This solution is correct!

Solution 4:

387, 507, 1341

Verification:

(387 + 507 + 1341) / 3 = 2235 / 3 ≈ 745

This solution is correct!

Solution 5:

726, 641, 868

Verification:

(726 + 641 + 868) / 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 = 836What three numbers have an average of 836 ?
(X+Y+Z) / 3 = 809What three numbers have an average of 809 ?
(X+Y+Z) / 3 = 809What three numbers have an average of 809 ?

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