What three numbers have an average of 778?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 778. This means if we add these three numbers together and divide by 3, we should get 778.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 778 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 778 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2334

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2334.

Solution 1:

778, 778, 778

Verification:

(778 + 778 + 778) / 3 = 2334 / 3 ≈ 778

This solution is correct!

Solution 2:

778, 778, 778

Verification:

(778 + 778 + 778) / 3 = 2334 / 3 ≈ 778

This solution is correct!

Solution 3:

444, 1521, 369

Verification:

(444 + 1521 + 369) / 3 = 2334 / 3 ≈ 778

This solution is correct!

Solution 4:

688, 968, 678

Verification:

(688 + 968 + 678) / 3 = 2334 / 3 ≈ 778

This solution is correct!

Solution 5:

1220, 209, 905

Verification:

(1220 + 209 + 905) / 3 = 2334 / 3 ≈ 778

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 = 905What three numbers have an average of 905 ?
(X+Y+Z) / 3 = 41What three numbers have an average of 41 ?
(X+Y+Z) / 3 = 193What three numbers have an average of 193 ?

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