Question

Arjun and Sajal are friends . each has some money. If Arun gives Rs. 30 to Sajal, the Sajal will have twice the money left with Arjun. But, if Sajal gives Rs. 10 to Arjun, the Arjun will have thrice as much as is left with Sajal. How much money does each have?

Answer 1

Suppose Arun has Rs. X and Sjal has Rs. 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 Rs. 62 and Sajal has Rs. 34.