Question: 5. (10 marks) (a) (5 marks) Let a = 47 and b = 40. Use the modified Euclid's Algorithm to find integers x and y

5. (10 marks) (a) (5 marks) Let a = 47 and b = 40. Use the modified Euclid's Algorithm to find integers x and y such that ar + by = 1. (b) (5 marks) Find the multiplicative inverse (47) of 47 in Z10, that is, find c E Z10 such that 47 .40 C = 1 mod 40

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