A bond pays coupons each 14th day of a quarter. The YTM is 3.75%. On the last coupon date, February 14th, there were 18 years remaining. The bond is sold X days after the last coupon settlement. The full price of the bond on the purchase date is $1.2352 for $1 of par value. The bond full price is 56.14499% higher than the bond price on the last coupon date.

Note: February month of this year included 29 days.

a/ Find X (the purchase date)?

b/ Find the annual coupon payment percentage?