What three numbers have an average of 618?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 618. This means if we add these three numbers together and divide by 3, we should get 618.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 618 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 618 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1854

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1854.

Solution 1:

618, 618, 618

Verification:

(618 + 618 + 618) / 3 = 1854 / 3 ≈ 618

This solution is correct!

Solution 2:

618, 618, 618

Verification:

(618 + 618 + 618) / 3 = 1854 / 3 ≈ 618

This solution is correct!

Solution 3:

717, 661, 476

Verification:

(717 + 661 + 476) / 3 = 1854 / 3 ≈ 618

This solution is correct!

Solution 4:

1747, 59, 48

Verification:

(1747 + 59 + 48) / 3 = 1854 / 3 ≈ 618

This solution is correct!

Solution 5:

104, 1646, 104

Verification:

(104 + 1646 + 104) / 3 = 1854 / 3 ≈ 618

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 = 405What three numbers have an average of 405 ?
(X+Y+Z) / 3 = 443What three numbers have an average of 443 ?

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