Asked by Sanni kumar

Rohan have some books and some tables.If he puts 9 books into each table he will have two tables left vacant. if he puts 6 books on each table he will have 3 books left over. find the number of books?
Answered by Ms. Sue
9, 18, 27, 36, 45
6, 12, 18, 24, 30, 36, 42

Answered by Ms. Sue
Yes, 45 books
Answered by Rittick
well, let the number of books is x
so as after putting 9 books on a table 2 tables left vacant, number of table becomes (x/9+2)
again if we put 6 books on each of the table 3 remains, so now
books on the table+3= total books
I.e: (x/9+2)6+3=x
solution: x=45
Answered by Kishan Anand
45
Answered by Kuldeep
45
Answered by Anuj
45
Answered by Anonymous
Suppose there are B books and T tables

If he puts 9 books on each table he will have two tables left vacant.
B = 9(T-2)

If he put 6 books on each table he will have 3 books left over.
6T+3 = B

6T+3 = 9(T-2)
6T+3 = 9T-18
21 = 3T
7 = T

6T+3 = 6(7)+3 = 42+3 = 45 = B

So there are 7 tables and 45 books.

Checking: Putting 9 books on 5 tables takes all 45 books,
and there will be 7-5 = 2 tables with no books.

Putting 6 books on all 7 tables takes 42 books,
and there will be 45-42 = 3 books left over.
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