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Math problems (Xi 'an Gaoxin No.1 Middle School entered in 2009)
Solution: Let the number, angle and score of the elements on the check be x and y respectively, and the equation can be listed.

( 100y+x)-350 = 2 *( 100 x+y),

Where x and y are integers, and 0 ≤ x, y.

Simplified equation

98y= 199x+350,

(picture)

3x+56 must be an integer multiple of 98, that is:? 3x+56=98k

When k= 1, then x= 14, at this time.

When k=2, x has no integer solution.

X> 100 when k=3.

That is, the face value of Li Lin's cheque is 14.32 yuan, which was mistaken for 32. 14 yuan when it was exchanged.

Request: Li Lin should return 32.14-14.32 =17.82 yuan.