Question

Two bus tickets from city A to B and
three tickets from city A to C cost Rs. 77
but three tickets from city A to B and
two tickets from city A to C cost Rs. 73.
What are the fares for cities Band C from
A?
(a) Rs.4, Rs.23 (b) Rs.13, Rs.17
(c) Rs. 15, Rs.14 (d) Rs.17, Rs.13​

Answer 1

Answer:

answer is option(b) Rs.13 and Rs.17

Step-by-step explanation:

let the cost of tickets from city A to B = Rs x

the cost of tickets from city A to C = Rsy

2x + 3y = 77 -------(1)

3x + 2y = 73 --------(2)

multiply by 3 in eq 1 and 2 in eq 2

3(2x + 3y = 77)

6x + 9y = 231 --------(3)

2(3x + 2y = 73)

6x + 4y = 146 --------(4)

subtract eq 4 and 3

6x + 9y = 231

6x + 4y = 146

- - -

5y = 85

y = 85/5

y = 17

put y in eq 1

2x + 3y = 77

2x + 3(17) = 77

2x + 51 = 77

2x = 77 - 51

2x = 26

x = 26/2

x = 13