MATH SOLVE

6 months ago

Q:
# Sam has twice as many books as Jim. If Sam gives 12 books to Jim, they will have the same number of books. How many books do they have altogether?

Accepted Solution

A:

Alright, lets get started.Suppose number of books Jim have = x Sam has twice as many books as Jim. So,Number of books Sam have = 2xIf Sam gives 12 books to Jim, they will have the same number of books.When Sam gives 12 books, his remaining books will be [tex] = 2x - 12 [/tex]When Jim gets 12 books from Sam, his books will be [tex] = x + 12 [/tex]And as per given question, they both now have equal books, so[tex] 2x - 12 = x + 12 [/tex]Adding 12 in both sides[tex] 2x - 12 + 12 = x + 12 + 12 [/tex][tex] 2x = x + 24 [/tex]Subtracting x from both sides[tex] 2x - x = x + 24 - x [/tex][tex] x = 24 [/tex]It means Jim has number of books = 24So, Sam has numberof books = [tex] 24 * 2 = 48 [/tex]So, they have number of books together = [tex] 24 + 48 = 72 [/tex] : AnswerHope it will help :)