Question

from Delhi station, if we buy 2 tickets for station A and 3 tickets for station B, the total cost is rs.77. But if we buy 3 tickets for station A and 5 tickets for station B, the total cost is rs.124. What are the fares from Delhi to station A and to station B? ​

Answer 1

Answer=⟩

Let cost of ticket to station A be Rs x and to station B be Rs y.

As per the statement, "if we buy 2 ticket for station A and 3 tickets for station B, the total cost is Rs. 77." =>2x+3y=77 --- (1)

And, as per Ajay "if we buy 3 tickets for station A and 5 tickets for station B, the total cost is Rs. 124." => 3x+5y=124 --- (2)

Multiplying equation (1) with 3 we get, 6x+9y=231 ----- equation (3)

Multiplying equation (2) with 2 we get, 6x+10y=248 ----- equation (4)

Subtracting equation (3)

from (4), we get y=17

Substituting y=17 in the

equation (1), we get 2x+3(17)=77=>x=13

Hence, cost of ticket to A is Rs 13 and to B is Rs 17

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