Ted and Alexis were carrying books up the stairs. Alexis said 'Not fair, Ted! I have thrice as many books as you do'. Ted said, 'Fine! Give me ten more books from the books you have!'. Alexis said, 'Still not good! you have twice as many as ma now.' How many books must ted give Alexis so that they have the same number of books?

Dear student,Total books=x+yLet the Ted have x books and Alexis have y books.Initially, y=3x........(1)After giving 10 books,Ted have x+10 have Alexis have y-10but still, y-10=2(x+10)3x-10=2x+20x=30y=3×30=90Total books=30+90=120For equal number of book each one should carry 60 books.After exchange of 10 books,Ted have 30+10=40 booksAlexis have 90-10=80 books.For equal number to attain, if further 20 books are given to Ted by Alexis thenit will be solved.Therefore, 20 book need to be givn furtherRegards

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