1.114 A check is recorded as $x$ dollars and $y$ cents, where $x$ and $y$ are both two-digit numbers. When cashed, it was mistakenly recorded as $y$ dollars and $x$ cents. The incorrect amount is 17.82 dollars more than the correct amount. Then
(A) $x$ does not exceed 70.
(B) $y$ may equal $2x$.
(C) The check amount is not a multiple of 5.
(D) The incorrect amount may be twice the correct amount.
(E) The sum of the digits of the correct amount is divisible by 9.
(9th American High School Mathematics Examination, 1958)
[Solution] Let $x=(10 a+b)$ yuan, $y=(10 c+d)$ fen. Then the value on the check is $1000 a+100 b+10 c+d$ (fen),

and the value the brother received is $1000 c+100 d+10 a+b$ (fen).
The difference between the two is $990 c+99 d-99(10 a+b)=1782$,

which simplifies to $(10 c+d)-(10 a+b)=18$, or $y-x=18$, thus $y$ might equal $2 x$.
Therefore, the answer is $(B)$.