Arun and Prabhat have some books with them. Once Prabhat said to Arun

1.	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 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» The correct option is: (C) 30 Explanation: Let Arun has x books and Prabhat has y books. According to the question, x - 3 = 1/2(y+3) => 2x = y + 9 ....(1) Also, x + 2 = y - 2 => x + 4 = y .....(2) Solving (1) and (2), we get x =13 and y = 17 => x + y = 30

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 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»

The correct option is: (C) 30

Explanation:

Let Arun has x books and Prabhat has y books. According to the question,

x - 3 = 1/2(y+3) => 2x = y + 9 ....(1)

Also, x + 2 = y - 2 => x + 4 = y .....(2)

Solving (1) and (2), we get

x =13 and y = 17 => x + y = 30