What three numbers have an average of 220?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 220. This means if we add these three numbers together and divide by 3, we should get 220.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 220 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 220 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 660

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 660.

Solution 1:

220, 220, 220

Verification:

(220 + 220 + 220) / 3 = 660 / 3 ≈ 220

This solution is correct!

Solution 2:

220, 220, 220

Verification:

(220 + 220 + 220) / 3 = 660 / 3 ≈ 220

This solution is correct!

Solution 3:

471, 161, 28

Verification:

(471 + 161 + 28) / 3 = 660 / 3 ≈ 220

This solution is correct!

Solution 4:

261, 332, 67

Verification:

(261 + 332 + 67) / 3 = 660 / 3 ≈ 220

This solution is correct!

Solution 5:

533, 18, 109

Verification:

(533 + 18 + 109) / 3 = 660 / 3 ≈ 220

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 = 897What three numbers have an average of 897 ?
(X+Y+Z) / 3 = 231What three numbers have an average of 231 ?
(X+Y+Z) / 3 = 996What three numbers have an average of 996 ?

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