Question

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?

Answer 1

suppose T are tables and B are books

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

if rohan puts 6 books on each table he will have 3 books left over.
B = 6T + 3

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

 6T + 3 
= 6 x 7 + 3
= 42 + 3
= 45

Hence books are 45 and table are 7.

HOPE IT HELPS :)