On Monday, Brendan gave Tristan twice as many cards Tristan already had. On Tuesday Tristan gave Brendan 1/3 of his cards. On We
dnesday Brendan gave Tristan as many cards as Tristan already had after that each had 36 cards. How many cards did Brendan and Tristan each have at the start of Monday.
Let, Tristan's cards are x unit Brendan's cards are y unit Monday, Tristan has 2x cards Tuesday, Tristan has 2x/3 cards Wednesday, Tristan has 4x/3 cards According to question 4x/3=36 ....(1) Again, Monday, Brenden has y-2x cards Tuesday, Brenden has y-2x + 2x/3 cards Wednesday, Brendan has y-2x+ (2x/3) - (2x/3) =y-2x According to question y-2x=36....(2) From (1), 4x/3=36 or,4x=108 or,x=27 By putting x=27 in (2), y-2*27=36 or,y-54=36 or,y=90 So Tristan had 27 and Brendan had 90 cards at beginning of monday ....<span />
