What three numbers have an average of 708?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 708. This means if we add these three numbers together and divide by 3, we should get 708.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 708 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 708 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2124

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2124.

Solution 1:

708, 708, 708

Verification:

(708 + 708 + 708) / 3 = 2124 / 3 ≈ 708

This solution is correct!

Solution 2:

708, 708, 708

Verification:

(708 + 708 + 708) / 3 = 2124 / 3 ≈ 708

This solution is correct!

Solution 3:

1368, 664, 92

Verification:

(1368 + 664 + 92) / 3 = 2124 / 3 ≈ 708

This solution is correct!

Solution 4:

556, 1376, 192

Verification:

(556 + 1376 + 192) / 3 = 2124 / 3 ≈ 708

This solution is correct!

Solution 5:

1228, 120, 776

Verification:

(1228 + 120 + 776) / 3 = 2124 / 3 ≈ 708

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 = 293What three numbers have an average of 293 ?
(X+Y+Z) / 3 = 130What three numbers have an average of 130 ?
(X+Y+Z) / 3 = 654What three numbers have an average of 654 ?

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