What three numbers have an average of 713?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 713. This means if we add these three numbers together and divide by 3, we should get 713.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 713 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 713 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2139

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2139.

Solution 1:

713, 713, 713

Verification:

(713 + 713 + 713) / 3 = 2139 / 3 ≈ 713

This solution is correct!

Solution 2:

713, 713, 713

Verification:

(713 + 713 + 713) / 3 = 2139 / 3 ≈ 713

This solution is correct!

Solution 3:

655, 1319, 165

Verification:

(655 + 1319 + 165) / 3 = 2139 / 3 ≈ 713

This solution is correct!

Solution 4:

979, 951, 209

Verification:

(979 + 951 + 209) / 3 = 2139 / 3 ≈ 713

This solution is correct!

Solution 5:

1463, 457, 219

Verification:

(1463 + 457 + 219) / 3 = 2139 / 3 ≈ 713

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 = 380What three numbers have an average of 380 ?
(X+Y+Z) / 3 = 233What three numbers have an average of 233 ?
(X+Y+Z) / 3 = 920What three numbers have an average of 920 ?

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