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Congruence statements, with a statement of percentage

by 1MileCrash
Tags: congruence, percentage, statement, statements
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Jul18-14, 08:21 AM
1MileCrash's Avatar
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Suppose I have three statements of congruence:

x = a mod n, y = b mod m, z = c mod p;

Furthermore, x is a given percent of x + y + z, as is y and z.

Does this uniquely determine x, y, z? Or does it at least restrict x to a predictable subset of the congruence class of a, and so on?

Thank you.
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Jul18-14, 08:32 AM
micromass's Avatar
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The main result:
Jul18-14, 08:38 AM
1MileCrash's Avatar
P: 1,304
Quote Quote by micromass View Post
I'm not sure I see how to apply the Chinese remainder theorem here. Can you elaborate?

Thanks again

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