What three numbers have an average of 720?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 720. This means if we add these three numbers together and divide by 3, we should get 720.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 720 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 720 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2160

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2160.

Solution 1:

720, 720, 720

Verification:

(720 + 720 + 720) / 3 = 2160 / 3 ≈ 720

This solution is correct!

Solution 2:

720, 720, 720

Verification:

(720 + 720 + 720) / 3 = 2160 / 3 ≈ 720

This solution is correct!

Solution 3:

1767, 371, 22

Verification:

(1767 + 371 + 22) / 3 = 2160 / 3 ≈ 720

This solution is correct!

Solution 4:

858, 1050, 252

Verification:

(858 + 1050 + 252) / 3 = 2160 / 3 ≈ 720

This solution is correct!

Solution 5:

900, 710, 550

Verification:

(900 + 710 + 550) / 3 = 2160 / 3 ≈ 720

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 = 124What three numbers have an average of 124 ?
(X+Y+Z) / 3 = 212What three numbers have an average of 212 ?
(X+Y+Z) / 3 = 480What three numbers have an average of 480 ?

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