A cheque is written for x dollars and y cents. Both x and y are two-digit numbers. In error, the cheque is cashed for y dollars and x cents, with the incorrect amount exceeding the correct amount by $17.82. Which of the following statements is correct?
(a) x cannot exceed 70.
(b) y can equal 2x.
(c) The amount of the cheque cannot be a multiple of 5.
(d) The incorrect amount can equal twice the correct amount.
(e) The sum of the digits of the correct amount is divisible by 9