Question

Find all solutions to the following sets of simultaneous congruences (a) x ≡ 10 mod 27...

Find all solutions to the following sets of simultaneous congruences

(a) x ≡ 10 mod 27 and x ≡ 172 mod 243

(b) x ≡ 10 mod 27 and x ≡ 172 mod 243 and x ≡ 163 mod 225

(c) x ≡ 10 mod 27 and x ≡ 172 mod 243 and x ≡ 162 mod 225

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