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:

87, 893, 1177

Verification:

(87 + 893 + 1177) / 3 = 2157 / 3 ≈ 719

This solution is correct!

Solution 4:

1239, 395, 523

Verification:

(1239 + 395 + 523) / 3 = 2157 / 3 ≈ 719

This solution is correct!

Solution 5:

1015, 917, 225

Verification:

(1015 + 917 + 225) / 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 = 91What three numbers have an average of 91 ?
(X+Y+Z) / 3 = 294What three numbers have an average of 294 ?
(X+Y+Z) / 3 = 624What three numbers have an average of 624 ?

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