Question

Arun and Prabhat have some books with them. Once Prabhat said to Arun that, if Arun gives $3$ books to Prabhat then Arun will have only $\frac{1}{2}$ of the books that Prabhat will have with him. Then Arun asked frankly that if Prabhat gives him only two books (to Arun), then Prabhat will have as many books as Arun will have. The total number of books that Arun and Prabhat have with them is _______.

• A. $25$
• B. $56$
• C. $30$
• D. Can't be determined

Answer 1

The correct option is C $30$

Let number of books Arun have be $x$ and that of Prabhat be $y$

Given that,

$x-3=\frac{y+3}{2}$

$y-2=x+2$

On solving these two equations, we get $x=13,y=17$

$\therefore$ Total number of books $=30$