the sum of all digits in each pair is 19 and the sum of the numbers in each pair is 100.

I don't understand what the question is trying to ask? Is it to find that number, or?

first thing I want to know, is: which pairs?

Some candidates are

36 64
53 47
...

that's the thing. they don't list any pairs.

well, just pick any 2-digit number, uv

The 2nd number will be (9-u)(10-v)

so, these are also good:

22 78
88 12
...

ok. thanks for the help.

Based on the information provided, it seems that the question is asking you to find two numbers that satisfy two conditions:

1. The sum of all digits in each pair is 19.
2. The sum of the numbers in each pair is 100.

To solve this question, you need to find two numbers that meet both of these conditions. Let's break down the problem step by step:

Step 1: Determine the possible range of numbers
Since the sum of the two numbers is 100, we can infer that both numbers must be positive integers and their sum should be 100.

Step 2: Find the numbers that satisfy the first condition
To find the values where the sum of all the digits in each pair is 19, you can start by listing possible pairs and checking each one until you find a pair that meets the condition. For example, you can start with pairs like (10, 90), (11, 89), (12, 88), and so on.

Step 3: Calculate the sum of the numbers in each pair
Finally, check if the sum of the numbers in each pair is equal to 100. If it is, then you have found the answer.

Based on this approach, continue listing pairs of numbers until you find the pair that satisfies both conditions.