What three numbers have an average of 719?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 719. This means if we add these three numbers together and divide by 3, we should get 719.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 719 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 719 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2157

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2157.

Solution 1:

719, 719, 719

Verification:

(719 + 719 + 719) / 3 = 2157 / 3 ≈ 719

This solution is correct!

Solution 2:

719, 719, 719

Verification:

(719 + 719 + 719) / 3 = 2157 / 3 ≈ 719

This solution is correct!

Solution 3:

1537, 260, 360

Verification:

(1537 + 260 + 360) / 3 = 2157 / 3 ≈ 719

This solution is correct!

Solution 4:

306, 1636, 215

Verification:

(306 + 1636 + 215) / 3 = 2157 / 3 ≈ 719

This solution is correct!

Solution 5:

1862, 228, 67

Verification:

(1862 + 228 + 67) / 3 = 2157 / 3 ≈ 719

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 = 794What three numbers have an average of 794 ?
(X+Y+Z) / 3 = 152What three numbers have an average of 152 ?
(X+Y+Z) / 3 = 989What three numbers have an average of 989 ?

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