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Congruence statements, with a statement of percentage

  1. Jul 18, 2014 #1
    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.
  2. jcsd
  3. Jul 18, 2014 #2


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  4. Jul 18, 2014 #3
    I'm not sure I see how to apply the Chinese remainder theorem here. Can you elaborate?

    Thanks again
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