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ILL 1987 Problem 60

    It is given that x=−2272x = -2272 , y=103+102c+10b+ay = 10^3+10^2c+10b+a , and z=1z = 1 satisfy the equation ax+by+cz=1ax + by + cz = 1 , where a,b,ca, b, c are positive integers with a<b<ca < b < c . Find y.y. Attachments:

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    Dataset text AI-MO AoPS. Quoted with source.

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