What three numbers have an average of 775?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 775. This means if we add these three numbers together and divide by 3, we should get 775.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 775 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 775 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2325

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2325.

Solution 1:

775, 775, 775

Verification:

(775 + 775 + 775) / 3 = 2325 / 3 ≈ 775

This solution is correct!

Solution 2:

775, 775, 775

Verification:

(775 + 775 + 775) / 3 = 2325 / 3 ≈ 775

This solution is correct!

Solution 3:

1383, 659, 283

Verification:

(1383 + 659 + 283) / 3 = 2325 / 3 ≈ 775

This solution is correct!

Solution 4:

171, 1190, 964

Verification:

(171 + 1190 + 964) / 3 = 2325 / 3 ≈ 775

This solution is correct!

Solution 5:

675, 369, 1281

Verification:

(675 + 369 + 1281) / 3 = 2325 / 3 ≈ 775

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 = 949What three numbers have an average of 949 ?
(X+Y+Z) / 3 = 878What three numbers have an average of 878 ?
(X+Y+Z) / 3 = 835What three numbers have an average of 835 ?

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