Question

Two railway tickets from city A to B and three tickets from city A to C cost ` 177. Three tickets from city A to B and two tickets from city A to C cost ` 173. The fare for city B from city A will be ` (1) 25 (2) 27 (3) 30 (4) 33

Answer 1

Let us assume that the cost of railway ticket from city A to B is p and from A to C is q.

According to question we can write,

2p + 3q = 177

and 3p + 2q = 173.

Now applying the elimination method we get,

6p + 9q = 531 and 6p + 4q = 346

After subtraction we get, 5q = 185 or, q = 37.

Putting the value of q in any of the equation we get, 2p + 3 x 37 = 177

or, 2p = 177 - 111 = 66

or, p = 33(Ans)