What three numbers have an average of 770?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 770. This means if we add these three numbers together and divide by 3, we should get 770.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 770 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 770 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2310

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2310.

Solution 1:

770, 770, 770

Verification:

(770 + 770 + 770) / 3 = 2310 / 3 ≈ 770

This solution is correct!

Solution 2:

770, 770, 770

Verification:

(770 + 770 + 770) / 3 = 2310 / 3 ≈ 770

This solution is correct!

Solution 3:

1114, 389, 807

Verification:

(1114 + 389 + 807) / 3 = 2310 / 3 ≈ 770

This solution is correct!

Solution 4:

1207, 467, 636

Verification:

(1207 + 467 + 636) / 3 = 2310 / 3 ≈ 770

This solution is correct!

Solution 5:

985, 122, 1203

Verification:

(985 + 122 + 1203) / 3 = 2310 / 3 ≈ 770

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 = 396What three numbers have an average of 396 ?
(X+Y+Z) / 3 = 633What three numbers have an average of 633 ?
(X+Y+Z) / 3 = 876What three numbers have an average of 876 ?

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