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 no. Of books
If there are x tables, then we have
9(x-2) = 6x+3
45
To find the number of books Rohan has, we can set up a system of equations based on the given information.
Let's assume the number of books Rohan has is "x".
According to the given condition, if he puts 9 books on each table, he will have 2 tables left vacant. This can be represented as:
x = 9t + 2, where "t" is the number of tables.
Similarly, if he puts 6 books on each table, he will have 3 books left over. This can be represented as:
x = 6t + 3
Now, we can solve these two equations simultaneously to find the value of "x" (the number of books).
By equating the right sides of both equations:
9t + 2 = 6t + 3
Simplifying the equation:
9t - 6t = 3 - 2
3t = 1
t = 1/3
Since "t" represents the number of tables, it cannot be a fractional value. Therefore, there is no valid solution that satisfies both conditions.