Two bus tickets from city a to b

Asked by admin @ 27/08/2021 in Math viewed by 325 People

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 B and C from A ?

Answered by admin @ 27/08/2021

Let fare from A to B be x &fare from A to C be y
Therefore by the problem
2x+3y=77 --eq (1)
3x+2y=73 --eq (2)
Adding eq(1)&(2) we get
5x+5y=150
thus x+y=30 --eq (3) ×2
subtracting eq 3 from 1
we get x=13;y=17
therefore fare from A to B=13
fare from C to B =17-13=4
ASSUMPTION:there is no fixed charge with which the original fare is added

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