Arun and Varun each has some money, If Arun gives Rs.10 to Varun, then Varun will have twice the money left with Arun. But, if Varun gives Rs.10 to Arun, then they both have equal amount of money. How much money does Arun have?

Correct Answer: Rs.50
Let the money with Arun and Varun be Rs.x and Rs.y respectively. By data, 2(x – 10) = y + 10 ? 2x – y = 30 …… (i) x + 10 = y – 10 ? x – y = -20 …… (ii) Solving (i) and (ii), we get, x = 50 and y = 70. Therefore, Arun has Rs.50.