A number theory problem by Jeremy Bansil

Number Theory Level pending

Let n = 30 x 070 y 03 n = \overline{30x070y03} be a 9 digit integer. How many ordered pairs of one-digit positive integers ( x , y ) (x, y) will make n n a multiple of 37?

This problem is from SMO 2015 Junior.


The answer is 3.

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