What three numbers have an average of 767?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 767. This means if we add these three numbers together and divide by 3, we should get 767.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 767 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 767 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2301

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2301.

Solution 1:

767, 767, 767

Verification:

(767 + 767 + 767) / 3 = 2301 / 3 ≈ 767

This solution is correct!

Solution 2:

767, 767, 767

Verification:

(767 + 767 + 767) / 3 = 2301 / 3 ≈ 767

This solution is correct!

Solution 3:

1531, 353, 417

Verification:

(1531 + 353 + 417) / 3 = 2301 / 3 ≈ 767

This solution is correct!

Solution 4:

1609, 485, 207

Verification:

(1609 + 485 + 207) / 3 = 2301 / 3 ≈ 767

This solution is correct!

Solution 5:

1580, 654, 67

Verification:

(1580 + 654 + 67) / 3 = 2301 / 3 ≈ 767

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 = 334What three numbers have an average of 334 ?
(X+Y+Z) / 3 = 492What three numbers have an average of 492 ?
(X+Y+Z) / 3 = 943What three numbers have an average of 943 ?

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