Congruence statements, with a statement of percentage

  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. micromass

    micromass 18,442
    Staff Emeritus
    Science Advisor

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