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:

1129, 270, 455

Verification:

(1129 + 270 + 455) / 3 = 1854 / 3 ≈ 618

This solution is correct!

Solution 4:

919, 848, 87

Verification:

(919 + 848 + 87) / 3 = 1854 / 3 ≈ 618

This solution is correct!

Solution 5:

1409, 430, 15

Verification:

(1409 + 430 + 15) / 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 = 180What three numbers have an average of 180 ?
(X+Y+Z) / 3 = 909What three numbers have an average of 909 ?
(X+Y+Z) / 3 = 103What three numbers have an average of 103 ?

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