input output

10 12
15 22
21 _______
6 4
29 50
_______ 2

how do i solve this problem?

To solve this problem, you need to identify the pattern or rule that relates the input and output numbers. Let's examine the given examples:

Input: 10, Output: 12
Input: 15, Output: 22
Input: 21, Output: _____

From the first example, we can see that the output is 2 more than the input (10 + 2 = 12). From the second example, the output is 7 more than the input (15 + 7 = 22).

By examining these two examples, we can determine that the rule or pattern is to add the input number with a certain value to get the output number.

To find this value, we subtract the input from the output. For example, from the first example, we have 12 - 10 = 2. From the second example, we have 22 - 15 = 7.

Now, we can use this rule to find the missing output for the input 21.

Input: 21
Output: 21 + (22 - 21) = 21 + 1 = 22

Therefore, the missing output for the input 21 is 22.

Let's continue with the other examples to make sure our pattern is correct:

Input: 6
Output: 6 + (4 - 6) = 6 - 2 = 4 (matches the given output)

Input: 29
Output: 29 + (50 - 29) = 29 + 21 = 50 (matches the given output)

Input: _______
Output: _____ + (2 - _____) = _____ + (2 - ____) = _____ + _____ = 2

From this, we can conclude that the missing input for the output 2 is 0.

So, the final answer is:

Input: 0
Output: 2