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IMSO 2008 Mathematics Contest in Taiwan – Short Answer Question 9

IMSO Maths · IMSO 2008 Mathematics Contest in Taiwan – Short Answer

Question 9

My bank card has a four-digit code to enter when getting money from an ATM. To remember it I noted:

(a) No two digits are the same.

(b) The fourth digit is the sum of the other three.

(c) The first digit is the sum of the middle two digits.

(d) Reversing the number gives an exact multiple of 7.

What is my number?