What three numbers have an average of 610?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 610. This means if we add these three numbers together and divide by 3, we should get 610.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 610 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 610 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 1830

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 1830.

Solution 1:

610, 610, 610

Verification:

(610 + 610 + 610) / 3 = 1830 / 3 ≈ 610

This solution is correct!

Solution 2:

610, 610, 610

Verification:

(610 + 610 + 610) / 3 = 1830 / 3 ≈ 610

This solution is correct!

Solution 3:

1689, 54, 87

Verification:

(1689 + 54 + 87) / 3 = 1830 / 3 ≈ 610

This solution is correct!

Solution 4:

740, 794, 296

Verification:

(740 + 794 + 296) / 3 = 1830 / 3 ≈ 610

This solution is correct!

Solution 5:

708, 858, 264

Verification:

(708 + 858 + 264) / 3 = 1830 / 3 ≈ 610

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 = 54What three numbers have an average of 54 ?
(X+Y+Z) / 3 = 37What three numbers have an average of 37 ?
(X+Y+Z) / 3 = 4What three numbers have an average of 4 ?

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