What three numbers have an average of 759?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 759. This means if we add these three numbers together and divide by 3, we should get 759.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 759 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 759 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2277

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2277.

Solution 1:

759, 759, 759

Verification:

(759 + 759 + 759) / 3 = 2277 / 3 ≈ 759

This solution is correct!

Solution 2:

759, 759, 759

Verification:

(759 + 759 + 759) / 3 = 2277 / 3 ≈ 759

This solution is correct!

Solution 3:

914, 859, 504

Verification:

(914 + 859 + 504) / 3 = 2277 / 3 ≈ 759

This solution is correct!

Solution 4:

301, 1667, 309

Verification:

(301 + 1667 + 309) / 3 = 2277 / 3 ≈ 759

This solution is correct!

Solution 5:

1907, 131, 239

Verification:

(1907 + 131 + 239) / 3 = 2277 / 3 ≈ 759

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 = 144What three numbers have an average of 144 ?
(X+Y+Z) / 3 = 633What three numbers have an average of 633 ?
(X+Y+Z) / 3 = 152What three numbers have an average of 152 ?

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