What three numbers have an average of 918?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 918. This means if we add these three numbers together and divide by 3, we should get 918.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 918 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 918 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2754

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2754.

Solution 1:

918, 918, 918

Verification:

(918 + 918 + 918) / 3 = 2754 / 3 ≈ 918

This solution is correct!

Solution 2:

918, 918, 918

Verification:

(918 + 918 + 918) / 3 = 2754 / 3 ≈ 918

This solution is correct!

Solution 3:

1474, 125, 1155

Verification:

(1474 + 125 + 1155) / 3 = 2754 / 3 ≈ 918

This solution is correct!

Solution 4:

1490, 502, 762

Verification:

(1490 + 502 + 762) / 3 = 2754 / 3 ≈ 918

This solution is correct!

Solution 5:

2326, 318, 110

Verification:

(2326 + 318 + 110) / 3 = 2754 / 3 ≈ 918

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 = 435What three numbers have an average of 435 ?
(X+Y+Z) / 3 = 340What three numbers have an average of 340 ?
(X+Y+Z) / 3 = 334What three numbers have an average of 334 ?

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