Arun and Sajal are friends. Each has some money. If Arun gives ` 30 to Sajal, then Sajal will have twice the money left with Arun. But, if Sajal gives ` 10 to Arun, then Arun will have thrice as much as is left with Sajal. How much money does each have?
Answer
Answer (as printed):
Explanation
Suppose Arun has ` x and Sajal has ` y. Then, 2(x – 30) = y + 30 ⇒ 2x – y = 90 ...(i) and x + 10 = 3(y – 10) ⇒ x – 3y = – 40 ...(ii) Solving (i) and (ii), we get: x = 62 and y = 34. \ Arun has ` 62 and Sajal has ` 34.
Explanation as extracted from the printed page; notation may be imperfect.