# Mathematics

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?

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

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2. Some candidates are

36 64
53 47
...

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

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4. 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
...

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5. ok. thanks for the help.

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