What three numbers have an average of 695?

Part 1: Understanding the Problem

We're looking for three numbers whose average is 695. This means if we add these three numbers together and divide by 3, we should get 695.

Step-by-step Solution:

  1. Recall the average formula: Average = (Sum of numbers) / (Count of numbers)
  2. In this case: 695 = (x + y + z) / 3
  3. To find the sum, multiply both sides by 3: 695 * 3 = x + y + z
  4. So, the sum of our three numbers should be: 2085

Part 2: Finding Solutions

Now, let's find multiple sets of three numbers that add up to 2085.

Solution 1:

695, 695, 695

Verification:

(695 + 695 + 695) / 3 = 2085 / 3 ≈ 695

This solution is correct!

Solution 2:

695, 695, 695

Verification:

(695 + 695 + 695) / 3 = 2085 / 3 ≈ 695

This solution is correct!

Solution 3:

1193, 850, 42

Verification:

(1193 + 850 + 42) / 3 = 2085 / 3 ≈ 695

This solution is correct!

Solution 4:

403, 1475, 207

Verification:

(403 + 1475 + 207) / 3 = 2085 / 3 ≈ 695

This solution is correct!

Solution 5:

821, 252, 1012

Verification:

(821 + 252 + 1012) / 3 = 2085 / 3 ≈ 695

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 = 803What three numbers have an average of 803 ?
(X+Y+Z) / 3 = 127What three numbers have an average of 127 ?
(X+Y+Z) / 3 = 454What three numbers have an average of 454 ?

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