What three numbers have an average of 613?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 613. This means if we add these three numbers together and divide by 3, we should get 613.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 613 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 613 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1839

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1839.

Solution 1:

613, 613, 613

Verification:

(613 + 613 + 613) / 3 = 1839 / 3 ≈ 613

This solution is correct!

Solution 2:

613, 613, 613

Verification:

(613 + 613 + 613) / 3 = 1839 / 3 ≈ 613

This solution is correct!

Solution 3:

1045, 224, 570

Verification:

(1045 + 224 + 570) / 3 = 1839 / 3 ≈ 613

This solution is correct!

Solution 4:

946, 788, 105

Verification:

(946 + 788 + 105) / 3 = 1839 / 3 ≈ 613

This solution is correct!

Solution 5:

977, 84, 778

Verification:

(977 + 84 + 778) / 3 = 1839 / 3 ≈ 613

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 = 96What three numbers have an average of 96 ?
(X+Y+Z) / 3 = 879What three numbers have an average of 879 ?
(X+Y+Z) / 3 = 283What three numbers have an average of 283 ?

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